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Popular >

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

Solution

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

Solution

- 6

Solution steps

\int_{0}^{2} x - 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_{0}^{2} x d x - \int_{0}^{2} 3 x^{2} d x

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

\int_{0}^{2} 3 x^{2} d x = 8

= 2 - 8

Simplify

= - 6

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (x-3x^2) ?
The integral from 0 to 2 of (x-3x^2) is -6