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Popular >

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

Solution

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

Solution

\frac{28}{3}

+1

Decimal Notation

9.33333 \dots

Solution steps

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

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

\int_{2}^{4} 2 x d x = 12

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

= - \frac{56}{3} + 12 + 16

Simplify

- \frac{56}{3} + 12 + 16 : \frac{28}{3}

= \frac{28}{3}

Popular Examples

integral from 0 to 1 of (x^2-2x+8)

\int_{0}^{1} (x^{2} - 2 x + 8) d x

integral from pi/6 to pi of (sin(θ))

\int_{\frac{π}{6}}^{π} (sin (θ)) d θ

integral from 0 to 8 of x/(x^2+1)

\int_{0}^{8} \frac{x}{x ^{2} + 1} d x

integral from-1 to 2 of x^3-3x^2-x+3

\int_{- 1}^{2} x^{3} - 3 x^{2} - x + 3 d x

integral from 0 to t of xe^{-2x}

\int_{0}^{t} x e^{- 2 x} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of-x^2+2x+8 ?
The integral from 2 to 4 of-x^2+2x+8 is 28/3