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Popular >

integral from-2 to 4 of |x-1|

Solution

\int_{- 2}^{4} ∣ x - 1 ∣ d x

Solution

9

Solution steps

\int_{- 2}^{4} ∣ x - 1 ∣ d x

Eliminate Absolutes

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

\int_{- 2}^{1} - x + 1 d x = \frac{9}{2}

\int_{1}^{4} x - 1 d x = \frac{9}{2}

= \frac{9}{2} + \frac{9}{2}

Simplify

\frac{9}{2} + \frac{9}{2} : 9

= 9

Popular Examples

integral from 0 to 2 of (x/2)^2

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

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

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

integral from 0 to 2 of 8x-3+5e^{2-x}

\int_{0}^{2} 8 x - 3 + 5 e^{2 - x} d x

integral from-infinity to-7 of e^x

\int_{- \infty}^{- 7} e^{x} d x

integral from y to 1 of (ye^x-y)

\int_{y}^{1} (y e^{x} - y) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 4 of |x-1| ?
The integral from-2 to 4 of |x-1| is 9