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Popular Calculus >

integral from 1 to 3 of-x^2+3x+2

Solution

\int_{1}^{3} - x^{2} + 3 x + 2 d x

Solution

\frac{22}{3}

+1

Decimal

7.33333 \dots

Solution steps

\int_{1}^{3} - x^{2} + 3 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_{1}^{3} x^{2} d x + \int_{1}^{3} 3 x d x + \int_{1}^{3} 2 d x

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} 3 x d x = 12

\int_{1}^{3} 2 d x = 4

= - \frac{26}{3} + 12 + 4

Simplify

- \frac{26}{3} + 12 + 4 : \frac{22}{3}

= \frac{22}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of-x^2+3x+2 ?
The integral from 1 to 3 of-x^2+3x+2 is 22/3