RD Sharma Solutions Class 12 Definite Integrals Exercise 20.2

RD Sharma Solutions for Class 12 Maths Exercise 20.2 Chapter 20 Definite Integrals are given here. Students of Class 12 are suggested to practise RD Sharma Solutions for Class 12 Maths Chapter 20 to strengthen their fundamentals and be able to solve questions that are usually asked in the examination. This exercise contains more problems related to Definite Integrals. 

RD Sharma Solutions for Class 12 Maths Chapter 20 Exercise 2

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Access RD Sharma Solutions for Class 12 Maths Chapter 20 Exercise 2

EXERCISE 20.2

Question. 1

Solution:

Question. 2

Solution:

Let us assume 1 + log x = t

Then differentiating w.r.t. x, we get

(1/x) dx = dt

Now substitute x = 1

t = 1

Again substitute x = 2

t = 1 + log 2

Then given question becomes,

Question. 3

Solution:

Let us assume that 9x² – 1 = t

Then, differentiating w.r.t. x, we get,

18x dx = dt

Dividing both sides by 6, we get

3x dx = dt/6

So, substitute x = 1

t = 8

Again substitute x = 2

t = 35

Then, the given question becomes,

Question. 6

Solution:

Let us assume that, e^x = t

Then, differentiating w.r.t. x, we get,

e^x dx = dt

So, substitute x = 0

t = 1

Again substitute x = 1

t = e

Then, the given question becomes,

Question. 7

Solution:

Let us assume that x² = t

Then, differentiating w.r.t. x, we get,

2x dx = dt

So, substitute x = 0

t = 0

Again substitute x = 1

t = 1

Then, the given question becomes,