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Popular >

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

Solution

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

Solution

- 24

Solution steps

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

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

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

= 2 - 26

Simplify

= - 24

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (1-3x^2) ?
The integral from 1 to 3 of (1-3x^2) is -24