# Integral Calculus -2

## 20 Questions MCQ Test IIT JAM Mathematics | Integral Calculus -2

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Attempt Integral Calculus -2 | 20 questions in 60 minutes | Mock test for IIT JAM preparation | Free important questions MCQ to study IIT JAM Mathematics for IIT JAM Exam | Download free PDF with solutions
QUESTION: 1

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

QUESTION: 2

### The value of Solution: QUESTION: 3

### The value of is equal to

Solution:

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)

QUESTION: 4 Solution: QUESTION: 5 mπ, then the value of m is:

Solution:

Given that  Hence QUESTION: 6

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

Solution: [Since sin x is periodic with period π] QUESTION: 7

The value of Solution:  QUESTION: 8 x dx is equal to:

Solution: QUESTION: 9 Solution:   QUESTION: 10 Solution:   QUESTION: 11 xF(sin X) dx is equal to

Solution: ...(i)  ...(ii)
Adding (i) and (ii), we get Hence QUESTION: 12 = where [ ] represents greatest integer:

Solution:    QUESTION: 13

The value of Solution:   QUESTION: 14 Solution:   QUESTION: 15 dt, then the derivative of f(x) with respect to x is:

Solution:     QUESTION: 16 Solution:

Given that Hence  QUESTION: 17

The value of Solution:  QUESTION: 18 is equal to

Solution:  QUESTION: 19

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

We have   QUESTION: 20 x dx is equal to:

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