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Popular >

integral from-5 to 3 of |x-1|

Solution

\int_{- 5}^{3} ∣ x - 1 ∣ d x

Solution

20

Solution steps

\int_{- 5}^{3} ∣ x - 1 ∣ d x

Eliminate Absolutes

= \int_{- 5}^{1} - x + 1 d x + \int_{1}^{3} x - 1 d x

\int_{- 5}^{1} - x + 1 d x = 18

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

= 18 + 2

Simplify

= 20

Graph

Popular Examples

integral from 0 to 2 of x^2-5x+6

\int_{0}^{2} x^{2} - 5 x + 6 d x

integral from 0 to pi/2 of 1/(3+2cos(x))

\int_{0}^{\frac{π}{2}} \frac{1}{3 + 2 cos ( x )} d x

integral from 1 to 4 of (2x^2+sqrt(x))

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

integral from 0 to pi/4 of arctan(x)

\int_{0}^{\frac{π}{4}} arctan (x) d x

integral from 3 to 6 of x^2-6x+9

\int_{3}^{6} x^{2} - 6 x + 9 d x

Frequently Asked Questions (FAQ)

What is the integral from-5 to 3 of |x-1| ?
The integral from-5 to 3 of |x-1| is 20