Integral-1

\int \sin xdx=-\cos x+C
\int \cos xdx=\sin x+C
\int \sec xdx=\int \frac{\sec^2 x+\sec x\tan x}{\sec x+\tan x} dx=\int \frac{d(\sec x+\tan x)}{\sec x+\tan x}=\ln|\sec x+\tan x| +C
\int \csc xdx=\int \frac{\csc^2x+\csc x\cot x}{\csc x+\cot x}=\int \frac{-d(\csc x+\cot x)}{\csc x+\cot x}=-\ln|\csc x+\cot x|+C
\int \tan xdx=\int \frac{\sin x}{\cos x}dx=\int - \frac{d\cos x}{\cos x}=-\ln |\cos x|+C
\int \cot xdx=\int \frac{\cos x}{\sin x}dx=\int \frac{d\sin x}{\sin x}=\ln|\sin x|+C