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Popular >

integral from 0 to 2 of (x^3+2x)

Solution

\int_{0}^{2} (x^{3} + 2 x) d x

Solution

8

Solution steps

\int_{0}^{2} x^{3} + 2 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}^{2} x^{3} d x + \int_{0}^{2} 2 x d x

\int_{0}^{2} x^{3} d x = 4

\int_{0}^{2} 2 x d x = 4

= 4 + 4

Simplify

= 8

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (x^3+2x) ?
The integral from 0 to 2 of (x^3+2x) is 8