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Popular >

integral from 2 to 4 of x^2-2

Solution

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

Solution

\frac{44}{3}

+1

Decimal Notation

14.66666 \dots

Solution steps

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

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

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

= \frac{56}{3} - 4

Simplify

\frac{56}{3} - 4 : \frac{44}{3}

= \frac{44}{3}

Popular Examples

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

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

integral from-x to x of sqrt(x^2+y^2)

\int_{- x}^{x} x^{2} + y^{2} d y

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

\int_{- 1}^{1} e^{- ∣ x ∣} d x

integral from-2 to 1 of x^2-(2-x)

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

integral from 0 to 5 of y

\int_{0}^{5} y d y

Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of x^2-2 ?
The integral from 2 to 4 of x^2-2 is 44/3