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Popular >

integral from 0 to 1 of (x^6+1)

Solution

\int_{0}^{1} (x^{6} + 1) d x

Solution

\frac{8}{7}

+1

Decimal

1.14285 \dots

Solution steps

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

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

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

= \frac{1}{7} + 1

Simplify

\frac{1}{7} + 1 : \frac{8}{7}

= \frac{8}{7}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (x^6+1) ?
The integral from 0 to 1 of (x^6+1) is 8/7