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Popular Calculus >

integral from 2 to 4 of x^2-6x+9

Solution

\int_{2}^{4} x^{2} - 6 x + 9 d x

Solution

\frac{2}{3}

+1

Decimal

0.66666 \dots

Solution steps

\int_{2}^{4} x^{2} - 6 x + 9 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}^{4} x^{2} d x - \int_{2}^{4} 6 x d x + \int_{2}^{4} 9 d x

\int_{2}^{4} x^{2} d x = \frac{56}{3}

\int_{2}^{4} 6 x d x = 36

\int_{2}^{4} 9 d x = 18

= \frac{56}{3} - 36 + 18

Simplify

\frac{56}{3} - 36 + 18 : \frac{2}{3}

= \frac{2}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of x^2-6x+9 ?
The integral from 2 to 4 of x^2-6x+9 is 2/3