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Popular >

integral from 0 to 2 of x^2-1

Solution

\int_{0}^{2} x^{2} - 1 d x

Solution

\frac{2}{3}

+1

Decimal Notation

0.66666 \dots

Solution steps

\int_{0}^{2} x^{2} - 1 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_{0}^{2} x^{2} d x - \int_{0}^{2} 1 d x

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} 1 d x = 2

= \frac{8}{3} - 2

Simplify

\frac{8}{3} - 2 : \frac{2}{3}

= \frac{2}{3}

Popular Examples

f (x) = - ln (x)

integral of 5x^{-3}

\int 5 x^{- 3} d x

\frac{d}{d y} (sin (y))

integral of e^{-x}sin(e^{-x})

\int e^{- x} sin (e^{- x}) d x

derivative of y=sqrt(x(x+11))derivative of

y = x (x + 11)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of x^2-1 ?
The integral from 0 to 2 of x^2-1 is 2/3