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Popular >

integral from-2 to 1*5 of |x^2-1|

Solution

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

Solution

40

Solution steps

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

Eliminate Absolutes

= \int_{- 2}^{- 1} x^{2} - 1 d x + \int_{- 1}^{1} - x^{2} + 1 d x + \int_{1}^{1 \cdot 5} x^{2} - 1 d x

\int_{- 2}^{- 1} x^{2} - 1 d x = \frac{4}{3}

\int_{- 1}^{1} - x^{2} + 1 d x = \frac{4}{3}

\int_{1}^{1 \cdot 5} x^{2} - 1 d x = \frac{112}{3}

= \frac{4}{3} + \frac{4}{3} + \frac{112}{3}

Simplify

\frac{4}{3} + \frac{4}{3} + \frac{112}{3} : 40

= 40

Graph

Popular Examples

integral from-1 to 2 of-x^2+7

\int_{- 1}^{2} - x^{2} + 7 d x

integral from-5 to 6 of (10-5x)

\int_{- 5}^{6} (10 - 5 x) d x

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

\int_{- 1}^{1} \frac{1}{1 + y ^{2}} d y

integral from 0 to infinity of 2e^{-x}sin(x)

\int_{0}^{\infty} 2 e^{- x} sin (x) d x

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

\int_{1}^{2 x} t^{2} + 1 d t

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1*5 of |x^2-1| ?
The integral from-2 to 1*5 of |x^2-1| is 40