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Popular >

integral of-512-x^3

Solution

\int - 512 - x^{3} d x

Solution

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

Solution steps

\int - 512 - 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 512 d x - \int x^{3} d x

\int 512 d x = 512 x

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

= - 512 x - \frac{x ^{4}}{4}

Add a constant to the solution

= - 512 x - \frac{x ^{4}}{4} + C

Graph

Popular Examples

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\int x^{2} e^{1 - x^{3}} d x

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\int x (7 x^{2} + x^{\frac{1}{2}}) d x

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integral of ((x+1))/(x-2)

\int \frac{( x + 1 )}{x - 2} d x

Frequently Asked Questions (FAQ)

What is the integral of-512-x^3 ?
The integral of-512-x^3 is -512x-(x^4)/4+C