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Popular Calculus >

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

Solution

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

Solution

\frac{183}{2}

+1

Decimal

91.5

Solution steps

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

\int_{2}^{5} x^{2} d x = 39

\int_{2}^{5} 5 x d x = \frac{105}{2}

= 39 + \frac{105}{2}

Simplify

39 + \frac{105}{2} : \frac{183}{2}

= \frac{183}{2}

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 5 of x^2+5x ?
The integral from 2 to 5 of x^2+5x is 183/2