Antiderivatives to Know for AP Calc BC!

reverse power rule= (think of the general rule!)

\frac{x^{n+1}}{n+1}

\int\sin xdx

-\cos x+C

\int\cos xdx

sinx + C

\int e^{x}dx

e^x + C

\int a^{x}dx

\frac{1}{\ln a}a^{x}+C

\int\frac{1}{x}dx

\ln\left|x\right|+C

\int\sec²xdx

tanx + C

\int\ \csc x\cot xdx

-\csc x+C

\int\sec x\tan xdx

\sec x + C

\int\ \csc^2xdx  

-\cot x + C