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Popular Calculus >

integral from 1 to 3 of x^3+2x-3

Solution

\int_{1}^{3} x^{3} + 2 x - 3 d x

Solution

22

Solution steps

\int_{1}^{3} x^{3} + 2 x - 3 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} 2 x d x - \int_{1}^{3} 3 d x

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

\int_{1}^{3} 2 x d x = 8

\int_{1}^{3} 3 d x = 6

= 20 + 8 - 6

Simplify

= 22

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of x^3+2x-3 ?
The integral from 1 to 3 of x^3+2x-3 is 22