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Popular Calculus >

integral from 1.5 to 2 of |x-1|

Solution

\int_{1.5}^{2} ∣ x - 1 ∣ d x

Solution

0.375

Solution steps

\int_{1.5}^{2} ∣ x - 1 ∣ d x

Eliminate Absolutes

= \int_{1.5}^{2} x - 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}^{2} x d x - \int_{1.5}^{2} 1 d x

\int_{1.5}^{2} x d x = 0.875

\int_{1.5}^{2} 1 d x = 0.5

= 0.875 - 0.5

Simplify

= 0.375

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1.5 to 2 of |x-1| ?
The integral from 1.5 to 2 of |x-1| is 0.375