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Integral Calculus> evaluate the following integral ∫ sqrt{(1...

question mark

evaluate the following integral
∫ sqrt{(1 + cos 2x) / (1 – cos 2x)} dx

taniska , 11 Years ago

Grade 12

1 Answers

Jitender Singh

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

$I = \int \sqrt{\frac{1+cos2x}{1-cos2x}}dx$
$I = \int \sqrt{\frac{2cos^{2}x}{2sin^{2}x}}dx$
$I = \int \frac{cosx}{sinx}dx$
$sinx = t$
$cosxdx = dt$
$I = \int \frac{dt}{t}$
$I = log(t)+c$
$I = log(sinx)+c$

Last Activity: 11 Years ago

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