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QUESTION: 1

Solution:

Given

QUESTION: 2

if then

Solution:

Even function

QUESTION: 3

Solution:

QUESTION: 4

Solution:

use

QUESTION: 5

Solution:

QUESTION: 6

Solution:

QUESTION: 7

Solution:

Period of |sinx| is π

Therefore, the integration becomes

= (-9) *(-1)*( [cosx]_{x=2π }– [cosx]_{x=π})

= 9 * (1 – (-1))

= 18

QUESTION: 8

Solution:

Given

QUESTION: 9

if from

Solution:

QUESTION: 10

Solution:

QUESTION: 11

If

Solution:

use

QUESTION: 12

Solution:

QUESTION: 13

If 0 < a < c, 0 < b < c then

Solution:

QUESTION: 14

Solution:

QUESTION: 15

Solution:

Put x^{4} =t

QUESTION: 16

If

Solution:

Sin x = t

QUESTION: 17

Solution:

Split into two integrals

QUESTION: 18

Solution:

Put 1/x= t

QUESTION: 19

Solution:

QUESTION: 20

Solution:

Log x = t

QUESTION: 21

Solution:

QUESTION: 22

Solution:

QUESTION: 23

Solution:

QUESTION: 24

If and

Solution:

QUESTION: 25

Solution:

Given function is odd

QUESTION: 26

Solution:

x^{11} cos x is an odd function.

QUESTION: 27

The function is

Solution:

Solution we know that if f(t) is an odd function the dt is given integral since is odd, the given integral is even

QUESTION: 28

Value of

Solution:

Given

QUESTION: 29

Solution:

use formula

QUESTION: 30

Solution:

Using

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