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Popular >

integral from 1 to 3 of 5x-x^2

Solution

\int_{1}^{3} 5 x - x^{2} d x

Solution

\frac{34}{3}

+1

Decimal Notation

11.33333 \dots

Solution steps

\int_{1}^{3} 5 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_{1}^{3} 5 x d x - \int_{1}^{3} x^{2} d x

\int_{1}^{3} 5 x d x = 20

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

= 20 - \frac{26}{3}

Simplify

20 - \frac{26}{3} : \frac{34}{3}

= \frac{34}{3}

Popular Examples

integral from 0 to 2 of p^2sin(x)

\int_{0}^{2} p^{2} sin (x) d p

integral from 0 to 2 of 9xe^{-3x}

\int_{0}^{2} 9 x e^{- 3 x} d x

integral from 0 to 2 of 1/(9x^2+36)

\int_{0}^{2} \frac{1}{9 x ^{2} + 36} d x

integral from 2 to 5 of 2x-1

\int_{2}^{5} 2 x - 1 d x

integral from 0 to 1 of (3y^2)/(4+y^3)

\int_{0}^{1} \frac{3 y ^{2}}{4 + y ^{3}} d y

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of 5x-x^2 ?
The integral from 1 to 3 of 5x-x^2 is 34/3