RD Sharma Solutions Class 12 Definite Integrals Exercise 20.1

RD Sharma Solutions for Class 12 Maths Exercise 20.1 Chapter 20 Definite Integrals are given here. We at BYJU’S, ensure that you get the best study material. RD Sharma Solutions for Class 12 Maths Chapter 20 can help you excel in your studies with a well-organized way of answering questions. In this exercise, students are going to study more about Integration.

RD Sharma Solutions for Class 12 Maths Chapter 20 Exercise 1

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EXERCISE 20.1

Question. 1

Solution:

Question. 2

Solution:

Question. 3

Solution:

Let us assume that x = sin θ,

dx = cos θ dθ

Then, substitute x = 0

θ = 0

Again substitute x = ½

θ = π/6

Question. 4

Solution:

Question. 5

Solution:

Let us assume that x² + 1 = t

Then, 2x dx = dt

x dx = dt/2

Now substitute x = 2

t = 5

Again substitute x = 3

t = 10

Then,