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Popular >

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

Solution

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

Solution

\frac{8}{3}

+1

Decimal

2.66666 \dots

Solution steps

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

\int_{- 1}^{3} x^{2} d x = \frac{28}{3}

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

= - \frac{28}{3} + 12

Simplify

- \frac{28}{3} + 12 : \frac{8}{3}

= \frac{8}{3}

Graph

Popular Examples

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\int_{0}^{2} π (4 - 2 x)^{2} d x

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\int_{1}^{2.5} (2 x + \frac{5}{2 x ^{2}}) d x

integral from 0 to 9 of (10)/((x+1)^2)

\int_{0}^{9} \frac{10}{( x + 1 ) ^{2}} d x

integral from-1 to 1 of |e^{2x}-10|

\int_{- 1}^{1} e^{2 x} - 10 d x

integral from 0 to 2 of pi(8x-x^4)

\int_{0}^{2} π (8 x - x^{4}) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of-x^2+3x ?
The integral from-1 to 3 of-x^2+3x is 8/3