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Popular Calculus >

integral of x^3-x^2

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

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\int \frac{6 x}{x ^{2} + 4 x + 13} d x

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\int 7^{\frac{3}{5}} d x

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\int \frac{tan ^{3} ( ln ( x ) )}{x} d x

Frequently Asked Questions (FAQ)

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