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Popular >

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

Solution

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

Solution

- \frac{125}{6}

+1

Decimal Notation

- 20.83333 \dots

Solution steps

\int_{- 5}^{0} x^{2} + 5 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_{- 5}^{0} x^{2} d x + \int_{- 5}^{0} 5 x d x

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

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

= \frac{125}{3} - \frac{125}{2}

Simplify

\frac{125}{3} - \frac{125}{2} : - \frac{125}{6}

= - \frac{125}{6}

Popular Examples

integral from 0 to 1/2 of (arctan(x))/x

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

integral from-3 to 0 of x^2+6x+9

\int_{- 3}^{0} x^{2} + 6 x + 9 d x

integral from 0 to 5 of (3x+2)/(x^2+9)

\int_{0}^{5} \frac{3 x + 2}{x ^{2} + 9} d x

integral from 3 to 4 of f(5^x)5^x

\int_{3}^{4} f (5^{x}) 5^{x} d x

integral from 2 to 4 of x(x^2-4)^2

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

Frequently Asked Questions (FAQ)

What is the integral from-5 to 0 of x^2+5x ?
The integral from-5 to 0 of x^2+5x is -125/6