Get the answer to "Find the integral of − 4 x 2..."

kazue72949lard

Answered question

2022-05-07

Find the integral of

- 4 x^{2} ﻿ - 3

with respect to x.

Madelyn Lynch

Beginner2022-05-08Added 15 answers

Split the single integral into multiple integrals.

$\int - 4 x^{2} d x + \int - 3 d x$

Since $- 4$ is constant with respect to $x$ , move $- 4$ out of the integral.

$- 4 \int x^{2} d x + \int - 3 d x$

By the Power Rule, the integral of $x^{2}$ with respect to $x$ is $\frac{1}{3} x^{3}$ .

$- 4 (\frac{1}{3} x^{3} + C) + \int - 3 d x$

Apply the constant rule.

$- 4 (\frac{1}{3} x^{3} + C) - 3 x + C$

Simplify.

$- \frac{4 x^{3}}{3} - 3 x + C$

Reorder terms.

$- \frac{4}{3} x^{3} - 3 x + C$

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