IPN Integral Calculus Simulator Exam Higher Level 2024

IPN HIGHER LEVEL Integral Calculus Simulator Exam 2024 in PDF

welcome to Integral Calculus SIMULATOR EXAM 2024 of the IPN, section of General Knowledge of Mathematics, which include the topics of the subject of Full Calculus, then we recommend you answer the IPN Mock Exam where all subjects are included.

This information is applicable to all areas of study regardless of the career you want to study, since sound GENERAL KNOWLEDGE and what you should know about THE SUBJECT OF MATHEMATICS of the Topics of Integral Calculus.

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IPN 2024 Integral Calculus Simulator Exam

IPN Higher Level Comprehensive Calculus Mock Exam

In many places this type of mock exams They have a cost; However, we have taken on the task of extracting all the questions that can be included in the IPN 2024 ADMISSION EXAM TO ENTER A HIGHER LEVEL and you will be able to fully understand them. FREE.

All the reagents include the justification or explanation of the correct answer, therefore, it will serve as a study to prepare you in the area of Maths in the matter of Integral calculus.

We hope that with this IPN 2024 Integral Calculus Simulator Exam Reinforce all your knowledge in this subject. All the topics that NATIONAL POLYTECHNIC INSTITUTE IPN included in the original exam you will know them in this IPN Integral Calculus Simulator Exam to which you will have access completely free.

Syllabus Included in the IPN 2024 Comprehensive Calculus Simulator Exam

Syllabus included in the IPN 2024 Comprehensive Calculus Exam Higher level

Here you will know all the topics of the subject of Integral Calculus that are included in the exam for entry to the higher level of the IPN 2024, we recommend that you study them carefully, remember that mathematics is learned by doing the greatest number of exercises.

Integral Calculus IPN Syllabus

Indefinite Integral

Definition of the antiderivative
Integration constant
Basic integration formulas

Integration Methods

Due to variable change
Integration by parts
Trigonometric substitution
Partial fractions

Definite Integral

Fundamental theorem of calculus
Area down the curve
Arc length

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Tips for Answering the IPN 2024 Integral Calculus Simulator Exam

Tips for Answering the IPN Integral Calculus Simulator Exam at Higher Level

For you to start answering this IPN Comprehensive Calculus Mock Exam We recommend that you follow the following points to the letter so that you get the most out of this information. Always consider pretending that this is your original exam, this way you can mitigate the nerves and stress that comes with answering an exam.

Have white sheets for the exercises.
Have a pencil, eraser and sharpener.
Have time available to answer 50 questions.
Be in a place without distractions or noise.

We know that everyone at some point When taking an exam we get nervous or afraid to doubt whether we will approve it or not, first of all we want to say that don't think about the results, concentrate on each question you are going to answer.

Suggestions to Answer the IPN Higher Level Comprehensive Calculus Exam without Nervous

We want to give you these tips that will be very useful so that you can answer each of the questions that come in the exam as best as possible. follow them to the letter and you will realize that it will be easier for you to answer all the questions.

Answer the IPN 2024 Integral Calculus Simulator Exam

Answers to the IPN Integral Calculus Mock Exam at Higher Level

Start responding the FREE IPN Integral Calculus Simulator Exam, consider the time you have allowed, this way you will be able to adapt to the time that they will give you in the Exam when you go to take it, When you answer, you will be shown whether the selected answer is correct with a check mark ✅ and if it is incorrect, it will be marked with an X ❌.

In some questions, When the answer is correct you will be given a brief justification why the selected answer is correct, analyze the explanation and acquire the correct knowledge that was taken into account.

Start Answering the IPN Integral Calculus Simulator Exam HIGHER LEVEL 2024

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Know Higher Level IPN Mock Exam Questions

This exam contains 50 questions on this subject, some of which are selected to be included in the original Higher Level admission exam.

When starting the exam you will have 1 hour of time to answer, we suggest that you start it when you are ready.

Time Has Run Out to Answer the Exam.

IPN SIMULATION EXAMS OF GENERAL KNOWLEDGE HIGHER LEVEL

General Knowledge of Mathematics Integral Calculus topics

Get ready to start answering the exam, after clicking on START The countdown of the time you have to answer it will be activated, The same system will tell you instantly if your answer was incorrect or correct, In some questions that are correct, it will give you a brief explanation of why your answer is correct, Before moving on to the next question, read this justification to reinforce your knowledge.

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1 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Identify the antiderivative of

TO) .

B).

C).

D) .

2 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

TO) .

B).

C).

D) .

3 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Indicate what is the value of F(2) for integral:

A) 2

B) -2

C) 6

D) -6

4 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

TO) .

B).

C).

D) .

5 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Indicate F(x) in the integral when F(1)=0

TO) .

B).

C).

D) .

6 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

TO) .

B).

C).

D) .

7 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate

TO) .

B).

C).

D) .

8 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate

TO) .

B).

C).

D) .

9 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

A) 100

B) 900

C) 2300

D) 5100

10 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate

TO) .

B).

C).

D) .

11 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate

TO) .

B).

C).

D) .

12 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate

TO) .

B).

C).

D) .

13 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

TO) .

B).

C).

D) .

14 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate

TO) .

B).

C).

D) .

15 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate

TO) .

B).

C).

D) .

16 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate

TO) .

B).

C).

D) .

17 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate

TO) .

B).

C).

D) .

18 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

An airplane takes off on the runway to take off, starting from zero speed at zero time. Calculate the time it takes to reach the speed of 100 m/s necessary for takeoff if its acceleration is given by

A) 5s

B) 10 s

C) 20s

D) 40s

19 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate the following integral by change of variable:

TO) .

B).

C).

D) .

20 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Identify the change of variable to solve the integral:

TO) .

B).

C).

D) .

21 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Identify the change of variable to solve the integral

TO) .

B).

C).

D) .

22 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate the integral by change of variable

TO) .

B).

C).

D) .

23 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Indicate u and dv to perform the integral

TO) .

B).

C).

D) .

24 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate the integral

TO) .

B).

C).

D) .

25 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

TO) .

B).

C).

D) .

26 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate by parts

TO) .

B).

C).

D) .

27 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate

TO) .

B).

C).

D) .

28 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Indicate u and dv to perform the integral

TO) .

B).

C).

D) .

29 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Indicate the triangle for trigonometric substitution in the integral

TO) .

B).

C).

D) .

30 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Indicate the change of the integral with the appropriate trigonometric substitution.

TO) .

B).

C).

D) .

31 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Indicate what change of variable is required to solve the integral

A) x= 2sec z

B) x= 2tan z

C) x= 2cot z

D) x= 2csc z

32 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate the dominator of the integral according to the appropriate trigonometric substitution.

A) 2cot z

B) 2csc z

C) 2tan z

D) 2cos z

33 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Indicate what change of variable is required to solve the integral

TO) .

B).

C).

D) .

34 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate the integral

TO) .

B).

C).

D) .

35 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Indicate the system of equations that arise when solving the integral

TO) .

B).

C).

D) .

36 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Express the integrand in partial fractions to solve the integral

TO) .

B).

C).

D) .

37 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate the integral by partial fractions

TO) .

B).

C).

D) .

38 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Indicate the equivalence to the integral

TO) .

B).

C).

D) .

39 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Indicate the change of the integrated to solve by partial fractions

TO) .

B).

C).

D) .

40 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate the integral

TO) .

B).

C).

D) .

41 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Given the figure, what is the integral that determines the shaded area?

TO) .

B).

C).

D) .

42 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

TO) .

B).

C).

D) .

43 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

TO) .

B).

C).

D) .

44 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

TO) .

B).

C).

D) .

45 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

TO) .

B).

C).

D) .

46 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

TO) .

B).

C).

D) .

47 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Some sociologists studied the annual income y (in dollars) that a person from a particular urban group with x years of education can expect to receive by seeking regular employment. They estimated that the rate at which income changes with respect to education is given by:

TO) .

B).

C).

D) .

48 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

TO) .

B).

C).

D) .

49 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

Calculate the volume of the solid of revolution that is generated by rotating the region limited by the curve

TO) .

B).

C).

D) .

50 / 50

Category: IPN - General Knowledge │Mathematics - Integral Calculus

TO) .

B).

C).

D) .

Your score is

The average score is 32%

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