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Math Twelve

Integrals NCERT Solutions

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NCERT Exercise 7.1

Find an anti derivative (or integral) of the following by the method of inspection:

Question:math Integrals solution of ncert exercise 7.1 class twelve_1

Solution:

Given, sin2x

To find out the antiderivation we have to find out a function whose derivation is sin2x.

Therefore, antiderivaion of

math Integrals solution of ncert exercise 7.1 class twelve_3

Alternate method:

math Integrals solution of ncert exercise 7.1 class twelve_3

Therefore, antiderivaion of

math Integrals solution of ncert exercise 7.1 class twelve_3

Question: math Integrals solution of ncert exercise 7.1 class twelve_5

Solution:

Given, cos3x

Since,

 math Integrals solution of ncert exercise 7.1 class twelve_6

Thus, antiderivative of math Integrals solution of ncert exercise 7.1 class twelve_7

Alternate method:

math Integrals solution of ncert exercise 7.1 class twelve_8

Thus, antiderivative of math Integrals solution of ncert exercise 7.1 class twelve_7

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