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Popular >

integral from 0 to 4 of (x^2-1)

Solution

\int_{0}^{4} (x^{2} - 1) d x

Solution

\frac{52}{3}

+1

Decimal Notation

17.33333 \dots

Solution steps

\int_{0}^{4} 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}^{4} x^{2} d x - \int_{0}^{4} 1 d x

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 1 d x = 4

= \frac{64}{3} - 4

Simplify

\frac{64}{3} - 4 : \frac{52}{3}

= \frac{52}{3}

Popular Examples

integral from 0 to 2 of 12x^3

\int_{0}^{2} 12 x^{3} d x

integral from 1 to 6 of 8x^3-6x^{-2}

\int_{1}^{6} 8 x^{3} - 6 x^{- 2} d x

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

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

integral from 0 to 1 of 2x^2-2x^3

\int_{0}^{1} 2 x^{2} - 2 x^{3} d x

integral from 0 to ex of t(t-pi)e^{-t^2}

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of (x^2-1) ?
The integral from 0 to 4 of (x^2-1) is 52/3