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Popular >

integral from 0 to 3 of (-x^2+4x)

Solution

\int_{0}^{3} (- x^{2} + 4 x) d x

Solution

9

Solution steps

\int_{0}^{3} - x^{2} + 4 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_{0}^{3} x^{2} d x + \int_{0}^{3} 4 x d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 4 x d x = 18

= - 9 + 18

Simplify

= 9

Graph

Popular Examples

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\int_{0}^{5} (8 e^{0.2 x} + 2 x) d x

integral from 0 to pi/5 of sin(5x)

\int_{0}^{\frac{π}{5}} sin (5 x) d x

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\int_{0}^{2} ln (x^{2} + 1) d x

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\int_{0}^{7} 2 x \cdot 3 x + 1 d x

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\int_{0}^{1} x^{2} (x - \frac{1}{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (-x^2+4x) ?
The integral from 0 to 3 of (-x^2+4x) is 9