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Popular >

integral from 0 to 5 of (x^2-1)

Solution

\int_{0}^{5} (x^{2} - 1) d x

Solution

\frac{110}{3}

+1

Decimal Notation

36.66666 \dots

Solution steps

\int_{0}^{5} 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}^{5} x^{2} d x - \int_{0}^{5} 1 d x

\int_{0}^{5} x^{2} d x = \frac{125}{3}

\int_{0}^{5} 1 d x = 5

= \frac{125}{3} - 5

Simplify

\frac{125}{3} - 5 : \frac{110}{3}

= \frac{110}{3}

Popular Examples

integral from 1 to 2 of (3+5x)^3

\int_{1}^{2} (3 + 5 x)^{3} d x

integral from 1 to 4 of 1/(2+x)

\int_{1}^{4} \frac{1}{2 + x} d x

integral from 0 to pi/2 of (sin(x))^6

\int_{0}^{\frac{π}{2}} (sin (x))^{6} d x

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

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

integral from-1 to 3 of x^{-3}

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of (x^2-1) ?
The integral from 0 to 5 of (x^2-1) is 110/3