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Popular >

integral of 4x^2-x

Solution

\int 4 x^{2} - x d x

Solution

\frac{4 x ^{3}}{3} - \frac{x ^{2}}{2} + C

Solution steps

\int 4 x^{2} - x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 4 x^{2} d x - \int x d x

\int 4 x^{2} d x = \frac{4 x ^{3}}{3}

\int x d x = \frac{x ^{2}}{2}

= \frac{4 x ^{3}}{3} - \frac{x ^{2}}{2}

Add a constant to the solution

= \frac{4 x ^{3}}{3} - \frac{x ^{2}}{2} + C

Graph

Popular Examples

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\int \frac{d}{1} (x^{3}) d x

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\int (2 x - 2)^{3} d x

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\int u e^{uv} d v

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\int \frac{9}{x x ^{2} - 4} d x

integral of 4x(2x^2+7)^7

\int 4 x (2 x^{2} + 7)^{7} d x

Frequently Asked Questions (FAQ)

What is the integral of 4x^2-x ?
The integral of 4x^2-x is (4x^3)/3-(x^2)/2+C