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Popular Calculus >

integral from-1 to 3 of (x^3+5x)

Solution

\int_{- 1}^{3} (x^{3} + 5 x) d x

Solution

40

Solution steps

\int_{- 1}^{3} x^{3} + 5 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_{- 1}^{3} x^{3} d x + \int_{- 1}^{3} 5 x d x

\int_{- 1}^{3} x^{3} d x = 20

\int_{- 1}^{3} 5 x d x = 20

= 20 + 20

Simplify

= 40

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (x^3+5x) ?
The integral from-1 to 3 of (x^3+5x) is 40