Q. $\int_{}^{}\frac{dx}{\sin{x\cos x}}$ is equal to
A) $\log{|\sin{x| + c}}$
B) $\log{|\tan{x| + c}}$
C) $\log{|\sec{x| + c}}$
D) None of these
Explanation
(b)
$\int_{}^{}\frac{dx}{\sin{x\cos x}} = \int_{}^{}{\frac{\cos x}{\sin{x\cos^{2}x}}dx}$
$= \int_{}^{}{\frac{1}{\tan x}\sec^{2}{x\ dx = \log{|\tan{x| + c}}}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.