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Popular >

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

Solution

\int_{- 1}^{3} ∣ x - 2 ∣ d x

Solution

5

Solution steps

\int_{- 1}^{3} ∣ x - 2 ∣ d x

Eliminate Absolutes

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

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

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

= \frac{9}{2} + \frac{1}{2}

Simplify

\frac{9}{2} + \frac{1}{2} : 5

= 5

Popular Examples

(\partial)/(\partial y)(2x^4yz^3)

\frac{\partial}{\partial y} (2 x^{4} y z^{3})

derivative of cos(2x)derivative of

cos (2 x)

d/(d{x)}(({x)/y}{{x}^2+{y}^2+{z}^2})

\frac{d}{d x} (\frac{x y}{x ^{2} + y ^{2} + z ^{2}})

f(x)=ln((2x-5)(3x^2-5))

f (x) = ln ((2 x - 5) (3 x^{2} - 5))

integral of cos^3(6x)sin^2(6x)

\int cos^{3} (6 x) sin^{2} (6 x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of |x-2| ?
The integral from-1 to 3 of |x-2| is 5