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Popular >

integral of 2x^2-x^3

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

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\int \frac{1}{z - 1} d z

Frequently Asked Questions (FAQ)

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