Integrate the functions: sin2xcos2x - Mathematics

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Sum

Integrate the functions:

`sqrt(sin 2x) cos 2x`

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Solution

Let `I = int sqrtsin 2x cos 2x dx`

Put sin 2x = t

⇒ 2 cos 2x dx = dt

∴ `I = 1/2 int t^(1/2) dt = 1/2 * t^(1/2 + 1)/(1/2 + 1) + C`

`1/2 xx 2/3 t^(3/2) + C = 1/2 t^(3/2) + C`

`1/3 (sin 2x)^(3/2) + C`

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Chapter 7: Integrals - Exercise 7.2 [Page 305]

APPEARS IN

NCERT Mathematics Class 12
Chapter 7 Integrals
Exercise 7.2 | Q 27 | Page 305

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