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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

integral from-6 to-3 of-x^2-3x

\int_{- 6}^{- 3} - x^{2} - 3 x d x

integral from 0 to 3 of 1/9 x^2

\int_{0}^{3} \frac{1}{9} x^{2} d x

integral from 0 to pi of (sin(x))^4

\int_{0}^{π} (sin (x))^{4} d x

integral from 1 to 6 of 1

\int_{1}^{6} 1

integral from 0 to 9 of 4/((3+x)^2)

\int_{0}^{9} \frac{4}{( 3 + x ) ^{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