EXERCISE 7.6(Integration)

Integrate the functions in Exercises 1 to 22.(Ex 7.6 integration ncert maths solution class 12)

Question 1:

Solution: Let

Question 2:

Solution: Let

Question 3:

Solution: Let

Question 4:

Solution: Let

Question 5:

Solution: Let

Question 6:

Solution: Let

Question 7:

Solution: Let

Question 8:

Solution: Let

Question 9:

Solution: Let

Where,

Substituting in (1),

Question 10:

Solution: Let

Question 11:

Solution: Let

Question 12:

Solution: Let

Question 13:

Solution: Let

Question 14:

Solution: Let

Again, using integration by parts, we get

Question 15:

Solution: Let

Question 16:

Solution: Let

Let

Since,

Question 17:

Solution: Let,

Let

Since,

Question 18:

Solution:

It is known that,

Question 19:

Solution: Let

Here,

It is known that,

Question 20:

Solution:

Let

It is known that,

Question 21:

Solution: Let .

Question 22:

Solution: Let

Using integration by parts, we get

Question 23: equals

A.

B.

C.

D.

Solution: The correct option is A.

Let

Also, let so,

Thus, the correct option is A.

Question 24: equals

A.

B.

C.

D.

Solution:The correct option is B.

Let,

Let

It is known that,

Thus, the correct option is B.