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Grade 12Integral Calculus

integrate the following integral
∫ sin x sqrt(1 + cos 2x) dx

Profile image of taniska
11 Years agoGrade 12
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1 Answer

Profile image of Jitender Singh
11 Years ago
Ans:
Hello Student,
Please find answer to your question below

I = \int sinx\sqrt{1+cos2x}dx
I = \int sinx\sqrt{2cos^{2}x}dx
I = \int \sqrt{2}sinxcosxdx
I = \frac{1}{\sqrt{2}}\int sin2xdx
I = \frac{-1}{2\sqrt{2}} cos2x+c