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Popular Calculus >

integral of 8x-x^4

Solution

\int 8 x - x^{4} d x

Solution

4 x^{2} - \frac{x ^{5}}{5} + C

Solution steps

\int 8 x - x^{4} 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 x d x - \int x^{4} d x

\int 8 x d x = 4 x^{2}

\int x^{4} d x = \frac{x ^{5}}{5}

= 4 x^{2} - \frac{x ^{5}}{5}

Add a constant to the solution

= 4 x^{2} - \frac{x ^{5}}{5} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 8x-x^4 ?
The integral of 8x-x^4 is 4x^2-(x^5)/5+C