# Exercise 7.4(Integration)

Integrate the functions in Exercises 1 to 23.(Ex 7.4 integration ncert maths solution class 12)

Question 1:

Solution: Let

Let

Question 2:

Solution: Let

Let

Using formula :

Hence,

Question 3:

Solution: Let

Let

Using formula :

Hence,

Question 4:

Solution: Let

Let ,

Now,

Question 5:-

Solution: let

Let ,

Now,

Question 6:

Solution: Let

Let

Now,

Question 7:

Solution: Let

Let ,

Now differentiate both sides,

Question 8:

Solution: Let

Let ,

Now,

Question 9: .

Solution: Let .

Let ,

Now,

Question 10: .

Solution : Let

Let x + 1 = t,

Now, differentiate both sides,

dx = dt

Now,

Question 11: .

Solution : Let

Let

Now,

Question 12: .

Solution: Let

Let,

Now,

Question 13: .

Solution: Let .

Now, let

Now,

Question 14: .

Solution: Let .

Let

Now,

Question 15: .

Solution: Let

hence,

Now, let

Now,

Question 16: .

Solution: Let

Let

Now,

Question 17: .

Solution: Let

let

Question 18:.

Solution: Let .

Let ,

Question 19: .

Solution: Let

Let ,

Question 20: .

Solution: Let .

Let ,

Question 21:.

Solution: Let

Let ,

Question 22: .

Solution: Let

Let ,

Question 23:.

Solution: Let

Let ,

Choose the correct answer in Exercises 24 and 25.

Question 24: is equals to:

A.

B.

C.

D.

Solution: the correct answer is B.

Let

Thus, the correct answer is B.

Question 25: is equals to:

A.

B.

C.

D.

Solution: the correct answer is B.

Let

Thus, the correct answer is B.

Ex 7.3 integration ncert maths solution class 12