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Evaluate the following integrals : ∫1+sin2xdx

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Question

Evaluate the following integrals : `int sqrt(1 + sin 2x) dx`

Sum
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Solution

`int sqrt(1 + sin 2x) dx`

= `intsqrt(cos^2x + sin^2x + 2sin x cos x) dx`

= `intsqrt((cos x + sin x)^2)dx`

= `int(cos x + sinx)dx`

= `int cos x  dx + int sin x  dx`

= sin x – cos x + c.

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Chapter 3: Indefinite Integration - Exercise 3.1 [Page 102]

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