Match the following.

Column–I		Column–II
A)	$\int \frac{4+3\sin x}{{\cos }^{2}x}dx$	P)	$-\cos 2x+C$
B)	$\int {(\tan x+\cot x)}^{2}dx$	Q)	$4\tan x+3\sec x+C$
C)	$\int \frac{\sin 4x}{\cos 2x}dx$	R)	$\frac{x}{2}-\frac{\sin 2x}{4}+C$
D)	$\int {\sin }^{2}xdx$	S)	$\tan x-\cot x+C$

A)  $I=\frac{{\displaystyle \int (1+3\sin x)}}{{\cos }^{2}x}dx=4\int {\sec }^{2}xdx+3\int \tan x\sec xdx$
B)  $I=\int {(\tan x+\cot x)}^{2}dx=\int {(\frac{\sin x}{\cos x}+\frac{\cos x}{\sin x})}^{2}dx$
 $\int \frac{dx}{{\sin }^{2}x{\cos }^{2}x}=\tan x-\cot x+c$
C)  $\int \frac{\sin 4x}{\cos 2x}dx=\int \frac{2\sin 2x\cos 2xdx}{\cos 2x}=-\cos 2+c$
D)  $\int {\sin }^{2}xdx=\int \frac{(1-\cos 2x)dx}{2}$