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Popular Calculus >

integral from 0 to 2 of 16x-x^5

Solution

\int_{0}^{2} 16 x - x^{5} d x

Solution

\frac{64}{3}

+1

Decimal

21.33333 \dots

Solution steps

\int_{0}^{2} 16 x - x^{5} 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_{0}^{2} 16 x d x - \int_{0}^{2} x^{5} d x

\int_{0}^{2} 16 x d x = 32

\int_{0}^{2} x^{5} d x = \frac{32}{3}

= 32 - \frac{32}{3}

Simplify

32 - \frac{32}{3} : \frac{64}{3}

= \frac{64}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 16x-x^5 ?
The integral from 0 to 2 of 16x-x^5 is 64/3