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integrate root cos2x /sinx

trinabh mishra , 12 Years ago

Grade 10

2 Answers

Sher Mohammad

$\int \sqrt{[Cos[2x]/Sin[2x]]}dx$

= $(2 ArcTan[1 - \sqrt{[Cot[x] - Tan[x]]}] - 2 ArcTan[1 + \sqrt{[Cot[x] - Tan[x]]}] - Log[1 - \sqrt{2} \sqrt{[Cot[2 x]] + Cot[2 x]]} + Log[1 + Cot[2 x] + \sqrt{[Cot[x] - Tan[x]]]})/(4 \sqrt{2})$

Sher Mohammad
B.Tech, IIT Delhi

Last Activity: 12 Years ago

Aditya Sharma

Write the question into form : sqrt(cos^2(x)-sin^2(x)/sin^2(x) and convert into form ; sqrt (cot^2(x)-1) and put cotx = seca and then it wud simplify.

Last Activity: 12 Years ago

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