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Popular >

integral from 0 to 5 of x^2-4x

Solution

\int_{0}^{5} x^{2} - 4 x d x

Solution

- \frac{25}{3}

+1

Decimal Notation

- 8.33333 \dots

Solution steps

\int_{0}^{5} 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}^{5} x^{2} d x - \int_{0}^{5} 4 x d x

\int_{0}^{5} x^{2} d x = \frac{125}{3}

\int_{0}^{5} 4 x d x = 50

= \frac{125}{3} - 50

Simplify

\frac{125}{3} - 50 : - \frac{25}{3}

= - \frac{25}{3}

Popular Examples

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

integral from 0 to 1 of sqrt(3x+7)

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

integral from 1 to infinity of 2/(x^2-1)

\int_{1}^{\infty} \frac{2}{x ^{2} - 1} d x

integral from 0 to 4 of 14(600+20x^2)

\int_{0}^{4} 14 (600 + 20 x^{2}) d x

integral from-2 to 4 of (3x^2-4x+5)

\int_{- 2}^{4} (3 x^{2} - 4 x + 5) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of x^2-4x ?
The integral from 0 to 5 of x^2-4x is -25/3