\[\frac{\sin x}{\sqrt{\cos x}}] | MATH - INTEGRATION BY SUBSTITUTION | SolveeIt

$\frac{\sin x}{\sqrt{\cos x}}$

$\int_{}^{}\frac{dx}{x\sqrt{2ax - x^{2}}}$

$x = a\cos t$

$x = 2a\cos t$

None of these

Answer

$\int_{}^{}\frac{dx}{x\sqrt{2ax - x^{2}}}$

Explanation

$\frac{1}{4}\sec^{4}x + c$

Put $4\sec^{4}x + c$ then it reduces to

$\frac{\sec^{3}x}{3} + c$

Question: \[\frac{\sin x}{\sqrt{\cos x}}\]...