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Popular Calculus >

integral from-2 to 2 of (x^6+1)

Solution

\int_{- 2}^{2} (x^{6} + 1) d x

Solution

\frac{284}{7}

+1

Decimal

40.57142 \dots

Solution steps

\int_{- 2}^{2} 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_{- 2}^{2} x^{6} d x + \int_{- 2}^{2} 1 d x

\int_{- 2}^{2} x^{6} d x = \frac{256}{7}

\int_{- 2}^{2} 1 d x = 4

= \frac{256}{7} + 4

Simplify

\frac{256}{7} + 4 : \frac{284}{7}

= \frac{284}{7}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of (x^6+1) ?
The integral from-2 to 2 of (x^6+1) is 284/7