Question

evaluate the following indefinite integral.

$$\int x ^ { 9 } d x$$

$$\int x ^ { 9 } d x = \square$$

Explanation:

Step1: Apply the power rule for integration

The power rule for integration is $\int x^n dx=\frac{x^{n + 1}}{n+1}+C$ ($n
eq - 1$). Here $n = 9$.
$$\int x^{9}dx=\frac{x^{9+1}}{9 + 1}+C$$

Step2: Simplify the expression

Simplify the exponent and the denominator.
$$\frac{x^{10}}{10}+C$$

Answer:

$\frac{x^{10}}{10}+C$