Basic integrals

These are examples of basic integrals integrated by Symtegration.

\(\int 1 \, dx = x\)

\(\int x \, dx = \frac{1}{2} x^{2}\)

\(\int x^{2} \, dx = \frac{x^{3}}{3}\)

\(\int \sqrt{x} \, dx = \frac{2 x^{\frac{3}{2}}}{3}\)

\(\int \frac{1}{x} \, dx = \log x\)

\(\int e^{x} \, dx = e^{x}\)

\(\int \log x \, dx = -x + \left(\log x\right) x\)

\(\int \sin x \, dx = -\cos x\)

\(\int \tan x \, dx = -\log \left\lvert \cos x \right\rvert\)