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Popular >

integral of 2x-x^3

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

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\int \frac{x}{cos ( x ^{2} )} d x

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\int \frac{1}{( 4 x + 1 ) ^{10}} d x

integral of x^3sqrt(11+x^4)

\int x^{3} 11 + x^{4} d x

integral of x^{1/n}

\int x^{\frac{1}{n}} d x

Frequently Asked Questions (FAQ)

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