Integral Calculus -2

# Integral Calculus -2

Test Description

## 20 Questions MCQ Test Topic-wise Tests & Solved Examples for IIT JAM Mathematics | Integral Calculus -2

Integral Calculus -2 for IIT JAM 2023 is part of Topic-wise Tests & Solved Examples for IIT JAM Mathematics preparation. The Integral Calculus -2 questions and answers have been prepared according to the IIT JAM exam syllabus.The Integral Calculus -2 MCQs are made for IIT JAM 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Integral Calculus -2 below.
Solutions of Integral Calculus -2 questions in English are available as part of our Topic-wise Tests & Solved Examples for IIT JAM Mathematics for IIT JAM & Integral Calculus -2 solutions in Hindi for Topic-wise Tests & Solved Examples for IIT JAM Mathematics course. Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free. Attempt Integral Calculus -2 | 20 questions in 60 minutes | Mock test for IIT JAM preparation | Free important questions MCQ to study Topic-wise Tests & Solved Examples for IIT JAM Mathematics for IIT JAM Exam | Download free PDF with solutions
 1 Crore+ students have signed up on EduRev. Have you?
Integral Calculus -2 - Question 1
Detailed Solution for Integral Calculus -2 - Question 1

...(i)

....(ii)
Adding (i) and (ii), we get
2l=0
implies 1 = 0

Integral Calculus -2 - Question 2

### The value of

Detailed Solution for Integral Calculus -2 - Question 2

Integral Calculus -2 - Question 3

### The value of is equal to

Detailed Solution for Integral Calculus -2 - Question 3

Here f(t) = t3 is continuous function, so from by fundamental theorem of calculus (If f is constinuous on an interval, then f has an anti-derivative on that interval)

Integral Calculus -2 - Question 4

Detailed Solution for Integral Calculus -2 - Question 4

Integral Calculus -2 - Question 5

mπ, then the value of m is:

Detailed Solution for Integral Calculus -2 - Question 5

Given that

Hence

Integral Calculus -2 - Question 6

The value of the integral | sin x | dx is equal to:

Detailed Solution for Integral Calculus -2 - Question 6

[Since sin x is periodic with period π]

Integral Calculus -2 - Question 7

The value of

Detailed Solution for Integral Calculus -2 - Question 7

Integral Calculus -2 - Question 8

x dx is equal to:

Detailed Solution for Integral Calculus -2 - Question 8

Integral Calculus -2 - Question 9

Detailed Solution for Integral Calculus -2 - Question 9

Integral Calculus -2 - Question 10

Detailed Solution for Integral Calculus -2 - Question 10

Integral Calculus -2 - Question 11

xF(sin X) dx is equal to

Detailed Solution for Integral Calculus -2 - Question 11

...(i)

...(ii)
Adding (i) and (ii), we get

Hence

Integral Calculus -2 - Question 12

= where [ ] represents greatest integer:

Detailed Solution for Integral Calculus -2 - Question 12

Integral Calculus -2 - Question 13

The value of

Detailed Solution for Integral Calculus -2 - Question 13

Integral Calculus -2 - Question 14

Detailed Solution for Integral Calculus -2 - Question 14

Integral Calculus -2 - Question 15

dt, then the derivative of f(x) with respect to x is:

Detailed Solution for Integral Calculus -2 - Question 15

Integral Calculus -2 - Question 16

Detailed Solution for Integral Calculus -2 - Question 16

Given that

Hence

Integral Calculus -2 - Question 17

The value of

Detailed Solution for Integral Calculus -2 - Question 17

Integral Calculus -2 - Question 18

is equal to

Detailed Solution for Integral Calculus -2 - Question 18

Integral Calculus -2 - Question 19

If f(x) is the integral of , x ≠ 0, then

Detailed Solution for Integral Calculus -2 - Question 19

We have

Integral Calculus -2 - Question 20

x dx is equal to:

Detailed Solution for Integral Calculus -2 - Question 20

## Topic-wise Tests & Solved Examples for IIT JAM Mathematics

27 docs|150 tests
Information about Integral Calculus -2 Page
In this test you can find the Exam questions for Integral Calculus -2 solved & explained in the simplest way possible. Besides giving Questions and answers for Integral Calculus -2, EduRev gives you an ample number of Online tests for practice

## Topic-wise Tests & Solved Examples for IIT JAM Mathematics

27 docs|150 tests