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Popular Calculus >

integral from 2 to 6 of (x^3+x)

Solution

\int_{2}^{6} (x^{3} + x) d x

Solution

336

Solution steps

\int_{2}^{6} x^{3} + 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_{2}^{6} x^{3} d x + \int_{2}^{6} x d x

\int_{2}^{6} x^{3} d x = 320

\int_{2}^{6} x d x = 16

= 320 + 16

Simplify

= 336

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of (x^3+x) ?
The integral from 2 to 6 of (x^3+x) is 336