Grade 10Integral Calculus

integrate root cos2x /sinx

trinabh mishra

12 Years agoGrade 10

2 Answers

Sher Mohammad

12 Years ago

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

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

Sher Mohammad
B.Tech, IIT Delhi

Aditya Sharma

12 Years ago

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.