# How do you find the indefinite integral of int -24x^5 dx?

Nov 24, 2016

$\int - 24 {x}^{5} \mathrm{dx} = - 4 {x}^{6} + C$

#### Explanation:

Use the rule $\int a f \left(x\right) \mathrm{dx} = a \int f \left(x\right) \mathrm{dx}$ to move the constant out of the integral.

$\int - 24 {x}^{5} \mathrm{dx} = - 24 \int {x}^{5} \mathrm{dx}$

Now use this integral rule, which is the opposite of the power rule for differentiation, to integrate the remaining term: $\int {x}^{n} \mathrm{dx} = {x}^{n + 1} / \left(n + 1\right) + C$

$- 24 \int {x}^{5} \mathrm{dx} = - 24 \left({x}^{5 + 1} / \left(5 + 1\right)\right) + C = - \frac{24}{6} {x}^{6} + C = - 4 {x}^{6} + C$