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Popular >

integral from 2 to 4 of x^2-6x+8

Solution

\int_{2}^{4} x^{2} - 6 x + 8 d x

Solution

- \frac{4}{3}

+1

Decimal

- 1.33333 \dots

Solution steps

\int_{2}^{4} x^{2} - 6 x + 8 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} 8 d x

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

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

\int_{2}^{4} 8 d x = 16

= \frac{56}{3} - 36 + 16

Simplify

\frac{56}{3} - 36 + 16 : - \frac{4}{3}

= - \frac{4}{3}

Graph

Popular Examples

integral from-1 to 2 of 4x-x^2

\int_{- 1}^{2} 4 x - x^{2} d x

integral from 0 to 2 of 3x^2-4x+2

\int_{0}^{2} 3 x^{2} - 4 x + 2 d x

integral from 0 to 1 of 2pix(x^2)

\int_{0}^{1} 2 π x (x^{2}) d x

integral from 2 to 4 of 6x^2-6x-1

\int_{2}^{4} 6 x^{2} - 6 x - 1 d x

integral from 1 to 9 of (11ln(x))/x

\int_{1}^{9} \frac{11 ln ( x )}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of x^2-6x+8 ?
The integral from 2 to 4 of x^2-6x+8 is -4/3