# Â  Â  Â  EXERCISE 7.1 (Integration)

Find an anti derivative (or integral) of the following functions by the method of inspection.(Ex 7.1 integration ncert solution maths class 12)

Question 1:

Solution: Using method of inspection

Thus, the anti derivative of is

Question 2:

Solution: Using method of inspection

Thus, the anti derivative of is

Question 3:

Solution: Using method of inspection

Thus, the anti derivative of is

Question 4:

Solution : Using method of inspection

Thus, the anti derivative of is

Question 5:

Solution: Using method of inspection

Anti derivative of

And antiderivative of

Thus the anitiderivative of

Find the following integrals in Exercises 6 to 20:

Question 6:

Solution: Let I =

Question 7:

Solution: Let I =

Question 8:

Solution: Let IÂ  =

Question 9:

Solution: Let I =

Question 10:

Solution: Let I =

Solution 11:Â

Solution: Let

Question 12:

Solution: Let

Question 13:

Solution: Let I =

Question 14:Â

Solution: Let I =

Question 15:

Solution: Let I =

Question 16:Â

Solution: Let I=

Question 17:Â

Solution: Let I =

Question 18:

Solution: Let I =

Question 19:Â

Solution: I =

Question 20:Â

Solution: Let I =

Choose the correct answer in Exercises 21 and 22.

Question 21:Â  The antiderivative of equals

(A)

(B)

(C)

(D)

Question 22:Â  If such that . Then is

(A)

(B)

(C)

(D)

Since,

Integrating both side

Putting in (i)