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This mock test of Integral Calculus -2 for IIT JAM helps you for every IIT JAM entrance exam.
This contains 20 Multiple Choice Questions for IIT JAM Integral Calculus -2 (mcq) to study with solutions a complete question bank.
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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) = t^{3} 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:

Solution:

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