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Popular >

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

Solution

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

Solution

\frac{625}{6}

+1

Decimal Notation

104.16666 \dots

Solution steps

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

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

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

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

Simplify

\frac{125}{3} + \frac{125}{2} : \frac{625}{6}

= \frac{625}{6}

Popular Examples

integral from 2 to 3 of 2^{3x}

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

integral from-2 to 1 of pi

\int_{- 2}^{1} π d x

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

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

integral from-pi to pi of xcos^3(x)

\int_{- π}^{π} x cos^{3} (x) d x

integral from 1 to 2 of 8xe^{x^2+2}

\int_{1}^{2} 8 x e^{x^{2} + 2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of x^2+5x ?
The integral from 0 to 5 of x^2+5x is 625/6