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Popular Calculus >

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

limit as x approaches-8-of (x+7)/(x+8)

x \to - 8 - lim (\frac{x + 7}{x + 8})

derivative of cos(x/2)

d er i v a t i v e cos (\frac{x}{2})

limit as x approaches 4 of (x^2-8)/(x^4)

x \to 4 lim (\frac{x ^{2} - 8}{x ^{4}})

limit as x approaches 0 of (1-x/3)^{1/x}

x \to 0 lim ((1 - \frac{x}{3})^{\frac{1}{x}})

derivative of arctan(-2x)

d er i v a t i v e arctan (- 2 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