基本积分公式表

• \(\large\int k d x=kx+C\)

• \(\large\int x^a dx=\frac{x^{\alpha+1}}{\alpha+1}+C\)

• \(\large\int \frac{1}{x}dx=\ln|x|+C\)

• \(\large\int\sin xdx=-\cos x+C\)

• \(\large\cos x dx=\sin x +C\)

• \(\large\int\frac{1}{\cos^2 x}xdx=-\tan x+C\)

• \(\large\int\frac{1}{\sin^2 x}xdx=-\cot x+C\)

• \(\large\int a^xdx=\frac{a^x}{\ln a}+C\)

• \(\large\int e^xdx=e^x+C\)

• \(\large\int \frac{1}{1+x^2}dx=\arctan x +C\)

• \(\large\int \frac{1}{\sqrt{1-x^2}}dx=\arcsin x+C\)

• \(\large\int \cosh x dx=\sinh x +C\)

• \(\large\int \sinh xdx=\cosh x +C\)

• \(\large\int \frac{\tan{x}}{\cos x}dx=\frac{1}{\cos x}+C\)

• \(\large\int \frac{\cot x}{\sin x}dx=-\frac{1}{\sin x}+C\)