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Popular >

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 Notation

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}

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\int_{0}^{6} \frac{x e ^{x}}{( 1 + x ) ^{2}} d x

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\int_{0}^{13} ∣ x - 9 ∣ d x

integral from 0 to pi of (sin(nx))^2

\int_{0}^{π} (sin (n x))^{2} d x

integral from 0 to 1 of sin((pix)/2)

\int_{0}^{1} sin (\frac{π x}{2}) d x

integral from 1 to 3 of (x^2+3x)

\int_{1}^{3} (x^{2} + 3 x) d x

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