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Popular >

integral from 1 to 3 of (3x^2-2x)

Solution

\int_{1}^{3} (3 x^{2} - 2 x) d x

Solution

18

Solution steps

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

\int_{1}^{3} 3 x^{2} d x = 26

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

= 26 - 8

Simplify

= 18

Graph

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\int_{0}^{1} x^{\frac{2}{9}} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (3x^2-2x) ?
The integral from 1 to 3 of (3x^2-2x) is 18