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Popular >

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

Solution

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

Solution

\frac{112}{3}

+1

Decimal

37.33333 \dots

Solution steps

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

\int_{1}^{5} x^{2} d x = \frac{124}{3}

\int_{1}^{5} 1 d x = 4

= \frac{124}{3} - 4

Simplify

\frac{124}{3} - 4 : \frac{112}{3}

= \frac{112}{3}

Graph

Popular Examples

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\int_{0}^{\frac{π}{4}} sin (t) + cos (t) d t

integral from 0 to infinity of e^{-4x^2}

\int_{0}^{\infty} e^{- 4 x^{2}} d x

integral from-1 to 4 of (3x-2)(x+3)

\int_{- 1}^{4} (3 x - 2) (x + 3) d x

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

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

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

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 5 of (x^2-1) ?
The integral from 1 to 5 of (x^2-1) is 112/3