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Popular >

integral from-3 to 2 of |x-1|

Solution

\int_{- 3}^{2} ∣ x - 1 ∣ d x

Solution

\frac{17}{2}

+1

Decimal Notation

8.5

Solution steps

\int_{- 3}^{2} ∣ x - 1 ∣ d x

Eliminate Absolutes

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

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

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

= 8 + \frac{1}{2}

Simplify

8 + \frac{1}{2} : \frac{17}{2}

= \frac{17}{2}

Popular Examples

integral from 1 to 2 of 4/(x^5)

\int_{1}^{2} \frac{4}{x ^{5}} d x

integral from 0 to 5 of x^2+2x-15

\int_{0}^{5} x^{2} + 2 x - 15 d x

integral from 0 to 3 of (3t-1)^{52}

\int_{0}^{3} (3 t - 1)^{52} d t

integral from 0 to 2 of pi(4x^2)^2

\int_{0}^{2} π (4 x^{2})^{2} d x

integral from-2 to 1 of xsqrt(2-x)

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

Frequently Asked Questions (FAQ)

What is the integral from-3 to 2 of |x-1| ?
The integral from-3 to 2 of |x-1| is 17/2