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Popular Calculus >

integral from 2 to 3 of x^2+2x-3

Solution

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

Solution

\frac{25}{3}

+1

Decimal

8.33333 \dots

Solution steps

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

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

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

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

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

Simplify

\frac{19}{3} + 5 - 3 : \frac{25}{3}

= \frac{25}{3}

Graph

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Frequently Asked Questions (FAQ)

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