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Popular >

integral from-3 to 4 of |x-1|

Solution

\int_{- 3}^{4} ∣ x - 1 ∣ d x

Solution

\frac{25}{2}

+1

Decimal Notation

12.5

Solution steps

\int_{- 3}^{4} ∣ x - 1 ∣ d x

Eliminate Absolutes

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

\int_{- 3}^{1} - x + 1 d x = 8

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

= 8 + \frac{9}{2}

Simplify

8 + \frac{9}{2} : \frac{25}{2}

= \frac{25}{2}

Popular Examples

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

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

integral from-1 to 1 of sqrt(1+x^{2/3)}

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

integral from 0 to 2 of 5/((2-x)^{2/3)}

\int_{0}^{2} \frac{5}{( 2 - x ) ^{\frac{2}{3}}} d x

integral from 0 to 1/2 of x^2e^{-x}

\int_{0}^{\frac{1}{2}} x^{2} e^{- x} d x

integral from 0 to 2 of xe^{-(x^2-1)/2}

\int_{0}^{2} x e^{- \frac{x ^{2} - 1}{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 4 of |x-1| ?
The integral from-3 to 4 of |x-1| is 25/2