Question

evaluate the following indefinite integral.

int x ^ { 10 } d x

int x ^ { 10 } d x =

Explanation:

Step1: Apply the power rule for integration

The power rule for integration is $\int x^{n}dx=\frac{x^{n + 1}}{n+1}+C$ ($n
eq - 1$). For the integral $\int x^{10}dx$, here $n = 10$.
$$\int x^{10}dx=\frac{x^{10 + 1}}{10+1}+C$$

Step2: Simplify the expression

Simplify the exponent and the denominator.
$$\frac{x^{11}}{11}+C$$

Answer:

$\frac{x^{11}}{11}+C$