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Popular >

integral from-1 to 2 of 4x-x^2

Solution

\int_{- 1}^{2} 4 x - x^{2} d x

Solution

3

Solution steps

\int_{- 1}^{2} 4 x - 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}^{2} 4 x d x - \int_{- 1}^{2} x^{2} d x

\int_{- 1}^{2} 4 x d x = 6

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

= 6 - 3

Simplify

= 3

Graph

Popular Examples

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\int_{1}^{9} \frac{11 ln ( x )}{x} d x

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of 4x-x^2 ?
The integral from-1 to 2 of 4x-x^2 is 3