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Popular >

integral of 8-x^3

Solution

\int 8 - x^{3} d x

Solution

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

Solution steps

\int 8 - 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 8 d x - \int x^{3} d x

\int 8 d x = 8 x

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

= 8 x - \frac{x ^{4}}{4}

Add a constant to the solution

= 8 x - \frac{x ^{4}}{4} + C

Graph

Popular Examples

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\int \frac{e ^{4 x}}{1 - e ^{2 x}} d x

Frequently Asked Questions (FAQ)

What is the integral of 8-x^3 ?
The integral of 8-x^3 is 8x-(x^4)/4+C