Watch: Standard integrals Opens a YouTube search: pick a video that clicks for you Power rule \int x^{n}\,dx=\frac{x^{n+1}}{n+1}+c\qquad(n\neq-1) Never forget the + c for indefinite integrals! Reciprocal \int \frac{1}{x}\,dx=\ln|x|+c Exponential \int e^{kx}\,dx=\frac{1}{k}e^{kx}+c Trig \int\sin x\,dx=-\cos x+c\quad\int\cos x\,dx=\sin x+c\quad\int\sec^2x\,dx=\tan x+c Linear inside (reverse chain) \int f(ax+b)\,dx=\frac{1}{a}F(ax+b)+c e.g. ∫ (2x+1)⁵ dx = (2x+1)⁶ / 12 + c.