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Popular Calculus >

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

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}

Graph

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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