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Grade 12Integral Calculus

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

taniska

12 Years agoGrade 12

1 Answer

Jitender Singh

12 Years ago

Ans:
Hello Student,
Please find answer to your question below

$I = \int sinx\sqrt{1-cos2x}dx$
$I = \int sinx\sqrt{2sin^{2}x}dx$
$I = \int \sqrt{2}sinx.sinxdx$
$I = \int \sqrt{2}sin^{2}xdx$

$I = \frac{1}{\sqrt{2}}\int (1-cos2x)dx$
$I = \frac{1}{\sqrt{2}}(x-\frac{sin2x}{2})+c$

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