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Popular Calculus >

integral from 0 to 2 of 8x^3-x^6

Solution

\int_{0}^{2} 8 x^{3} - x^{6} d x

Solution

\frac{96}{7}

+1

Decimal

13.71428 \dots

Solution steps

\int_{0}^{2} 8 x^{3} - x^{6} 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} 8 x^{3} d x - \int_{0}^{2} x^{6} d x

\int_{0}^{2} 8 x^{3} d x = 32

\int_{0}^{2} x^{6} d x = \frac{128}{7}

= 32 - \frac{128}{7}

Simplify

32 - \frac{128}{7} : \frac{96}{7}

= \frac{96}{7}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 8x^3-x^6 ?
The integral from 0 to 2 of 8x^3-x^6 is 96/7