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Popular >

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

Popular Examples

integral from 0 to 1 of 1/((5-4x)^2)

\int_{0}^{1} \frac{1}{( 5 - 4 x ) ^{2}} d x

integral from-4 to 0 of-x^2-4x

\int_{- 4}^{0} - x^{2} - 4 x d x

integral from 1 to 2 of 6/x

\int_{1}^{2} \frac{6}{x} d x

integral from-2 to 2 of x(x^2-4)

\int_{- 2}^{2} x (x^{2} - 4) d x

integral from-1 to infinity of e^{-x}

\int_{- 1}^{\infty} e^{- x} d x

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