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Popular >

integral from 2 to 6 of x^2-3x

Solution

\int_{2}^{6} x^{2} - 3 x d x

Solution

\frac{64}{3}

+1

Decimal Notation

21.33333 \dots

Solution steps

\int_{2}^{6} 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_{2}^{6} x^{2} d x - \int_{2}^{6} 3 x d x

\int_{2}^{6} x^{2} d x = \frac{208}{3}

\int_{2}^{6} 3 x d x = 48

= \frac{208}{3} - 48

Simplify

\frac{208}{3} - 48 : \frac{64}{3}

= \frac{64}{3}

Popular Examples

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

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

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

\int_{0}^{t} x e^{- x^{2}} d x

integral from 0 to pi/2 of sec^3(x)

\int_{0}^{\frac{π}{2}} sec^{3} (x) d x

integral from 1 to 2 of x^2+x^{-2}

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

integral from-7 to 0 of 2/(x^{2/3)}

\int_{- 7}^{0} \frac{2}{x ^{\frac{2}{3}}} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of x^2-3x ?
The integral from 2 to 6 of x^2-3x is 64/3