Question: $\int_{}^{}\frac{\sqrt{\cot x}}{\sin x\cos x}$dx = P $\sqrt{\cot x}$ + Q, then P equals to :...

Question

$\int_{}^{}\frac{\sqrt{\cot x}}{\sin x\cos x}$ dx = P $\sqrt{\cot x}$ + Q, then P equals to :

Answer 1

divide by sin²x

.cosec²x dx

. (– dt) (t = cot x)

= –2 + c

= – 2 $\sqrt { \cot x }$ + c

Question: \(\int_{}^{}\frac{\sqrt{\cot x}}{\sin x\cos x}\)dx = P \(\sqrt{\cot x}\) + Q, then P equals to :...