| $\int{a}\;dx = a·x$ |
| $\int{a}·f(x)dx\ = a·\int f(x)dx$ |
| $\int(u\pm v \pm w \pm ...)dx=\int u\;dx \pm \int v\;dx \pm \int w\;dx \;\pm ...$ |
| $\int u \;dv = u·v-\int v\;du$ |
| $\int f(ax)dx=\frac{1}{a} \int f(u)du$ |
| $\int F(f(x))dx=\int F(u) \frac{dx}{du}du$ |
| $\int u^n du=\frac{u^{n+1}}{n+1},\; n \ne -1$ |
| $\int \frac{du}{u}=\ln(u) \; for \; u \gt 0 \; eller \; \ln(-u) \; for \; u \lt 0$ |
| $\int e^u du = e^u$ |
| $\int a^u du=\int e^{u\ln(a)}du=\frac{e^{u\ln(a)}}{\ln(a)}=\frac{a^u}{\ln(a)},\; a \gt 0, \; a \ne 1$ |
Se trigonometriske integraler (sin, cos, tan, cot, sec, csc) her
Se hyperbolske integraler (sinh, cosh, tanh, coth, sech, csch) her
