Integral of $$$x^{19}$$$
The calculator will find the integral/antiderivative of $$$x^{19}$$$, with steps shown.
Related calculator: Definite and Improper Integral Calculator
Your Input
Find $$$\int x^{19}\, dx$$$.
Solution
Apply the power rule $$$\int x^{n}\, dx = \frac{x^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ with $$$n=19$$$:
$${\color{red}{\int{x^{19} d x}}}={\color{red}{\frac{x^{1 + 19}}{1 + 19}}}={\color{red}{\left(\frac{x^{20}}{20}\right)}}$$
Therefore,
$$\int{x^{19} d x} = \frac{x^{20}}{20}$$
Add the constant of integration:
$$\int{x^{19} d x} = \frac{x^{20}}{20}+C$$
Answer
$$$\int x^{19}\, dx = \frac{x^{20}}{20} + C$$$A