# Â EXERCISE 7.2(Integration)

Integrate the functions in Exercises 1 to 37:(Ex 7.2 integration ncert solution maths class 12)

Question 1:

Solution: Let I =

Let

where is an arbitrary constant.

Question 2:Â

Solution: Let

Let

Question 3: Integrate

Solution: Let

Question 4: Integrate

Solution: Let

Let

where is an arbitrary constant.

Question 5:Â

Solution: The given function can be rewritten as

Let

Question 6:

Solution: Let

Question 7:Â

Solution : Let

Let

Question 8:Â

Solution: Let

Let

Question 9: Integrate

Solution : Let

Let

Question 10:Â

Solution: The given function can be rewritten as

Let

Question 11:Â

Solution : Let

Let

Question 12:

Solution: Let

Let

Question 13:Â

Solution: Let

Let

Question 14: Integrate

Solution: Let

Let

Question 15: Integrate

Solution: Let

Let

Question 16: Integrate

Solution: Let

Let

Question 17: Integrate

Solution: Let

Let

Question 18:Â

Solution: Let

Let

Question 19:Â

Solution: Let

Dividing the given function’s numerator and denominator by , we obtain.

Question 20: Integrate

Solution: Let

Let

Question 21:

Solution : Let

Let

Question 22:Â

Solution: Let

Let

Question 23: Integrate

Solution:

Let

Question24:Integrate

Solution: Let

Question 25: Integrate

solution: Let

Questio 26: integrate

Solution: Let

let

Question 27:Â

Solution: Let

Let

So,

Question 28:Â

Solution: Let

Let

Question 29: Integrate

Solution: Let

Let logsin

Question 30:Â

Solution:

Let

Question 31:

Solution:Â  Let

Let

Question 32:

Solution: Let

Let

Question 33:Â

Solution : Let

Put

Question 34:

Solution: Let

Let

Question 35: Integrate

Solution: Let

Let

Question 36:Â

Solution: Let

Question 37:Â

Solution: Let

Let

Question 38: equals

a)

b)

c)

d)

Solution : Hence, the correct Answer is D

Let

Let

Hence, the correct Answer is D.

Question 39: equals

a)

b)

c)

d)

Solution: Hence, the correct Answer is B.

Let

Hence, the correct Answer is B.