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Popular >

integral from 0 to 1 of x^6-x

Solution

\int_{0}^{1} x^{6} - x d x

Solution

- \frac{5}{14}

+1

Decimal Notation

- 0.35714 \dots

Solution steps

\int_{0}^{1} x^{6} - x 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}^{1} x^{6} d x - \int_{0}^{1} x d x

\int_{0}^{1} x^{6} d x = \frac{1}{7}

\int_{0}^{1} x d x = \frac{1}{2}

= \frac{1}{7} - \frac{1}{2}

Simplify

\frac{1}{7} - \frac{1}{2} : - \frac{5}{14}

= - \frac{5}{14}

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x^6-x ?
The integral from 0 to 1 of x^6-x is -5/14