Ex 7.6

Ex 7.6, 2 Important

Ex 7.6, 3

Ex 7.6, 4

Ex 7.6, 5 Important

Ex 7.6, 6

Ex 7.6, 7 Important

Ex 7.6, 8

Ex 7.6, 9

Ex 7.6, 10 Important

Ex 7.6, 11

Ex 7.6, 12

Ex 7.6, 13 Important

Ex 7.6, 14 Important

Ex 7.6, 15

Ex 7.6, 16

Ex 7.6, 17

Ex 7.6, 18 Important

Ex 7.6, 19

Ex 7.6, 20 Important

Ex 7.6, 21 You are here

Ex 7.6, 22 Important

Ex 7.6, 23 (MCQ)

Ex 7.6, 24 (MCQ) Important

Last updated at May 29, 2023 by Teachoo

Ex 7.6, 21 – Chapter 7 Class 12 Integrals – NCERT Solution Integrate e^2x sin x I = ∫ e^2x sin x dx Using ILATE e^2x -> Exponential sin x -> Trigonometric We know that ∫ f(x) g(x) dx = f(x) ∫ g(x) dx – ∫ (f'(x) ∫ g(x)dx)dx Putting f(x) = e^2x, g(x) = sin x I = sin . 2 I = sin 2 sin 2 I = sin . 2 2 cos . 2 2 I = 1 2 . 2 sin 1 2 cos . 2 Solving I2 = 1 2 cos . 2 I1 = 1 2 cos . 2 = 1 2 cos 2 cos 2 = 1 2 cos . 2 2 ( sin ) . 2 2 = 1 2 2 . cos 2 + 1 2 2 sin = 1 2 2 . cos 2 + 1 2 I + 1 Putting the value of I1 in (1) , we get I = 2 sin I = 2 sin 2 1 2 2 . cos 2 + I 2 + 1 I = 2 2 sin 2 4 cos I 4 1 + I 4 = 2 sin 2 2 . cos 4 5 4 = 2 4 2 sin cos 1 = 4 5 . 2 4 2 sin cos 4 1 5 = +