GATE ES topic:calculus PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 20. Imported answers require independent review unless marked reviewed.

Topic practice 20 questionsPage 1 of 2

The correct integral of

(assuming integral constant as c) is ______.

Your answerChoose one option.

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Given

, the minimum value of

is ______.

Your answerChoose one option.

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The area in the first quadrant bounded by the function

and the coordinate axes is _____ square units (answer in integer).

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Consider the following two series

Choose the correct option from the following

Your answerChoose one option.

P is convergent series; Q is divergent series

P is divergent series; Q is convergent series

Both P and Q are convergent series

Both P and Q are divergent series

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is ____________ (rounded off to two decimal places).

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The value of

is ________. (rounded off to two decimal places)

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The sum of the following infinite series is

Your answerChoose one option.

1/3

7/2

13/4

9/2

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has a local maximum at x = ______ (an integer value) in the range x = −2 to +2.

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Consider the function

Expand f(x+h) using Taylor’s series. In this context, the correct statement(s) is/are

Your answerSelect all correct options. You can choose more than one.

Second term in the Taylor’s series i.e., the term which includes h is:

First term is

Third term in the Taylor’s series i.e., the term which includes

is:

Third term in the Taylor’s series i.e., the term which includes

is:

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Consider the equation for a curve,

The area enclosed by the curve, the

-axis (

line); the vertical lines passing through

and

is ______ (rounded off to 2 decimal places)

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GATE ES topic:calculus PYQs

How to practice topic:calculus

Question 12

Question 13

Question 64

Question 13

Question 34

Question 49

Question 4

Question 32

Question 42

Question 49