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Popular >

integral from 2 to 3 of x+x^2

Solution

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

Solution

\frac{53}{6}

+1

Decimal Notation

8.83333 \dots

Solution steps

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

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

\int_{2}^{3} x^{2} d x = \frac{19}{3}

= \frac{5}{2} + \frac{19}{3}

Simplify

\frac{5}{2} + \frac{19}{3} : \frac{53}{6}

= \frac{53}{6}

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of x+x^2 ?
The integral from 2 to 3 of x+x^2 is 53/6