6.8 Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation

Notes

• $\displaystyle \int x^n dx=\frac{x^{n+1}}{n+1}+C$ for $n\ne-1$.
• $\displaystyle \int\frac{1}{x}dx=\ln|x|+C$; $\displaystyle \int e^x dx=e^x+C$.
• $\displaystyle \int\cos x\,dx=\sin x+C$; $\displaystyle \int\sin x\,dx=-\cos x+C$; $\displaystyle \int\sec^2x\,dx=\tan x+C$.