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Popular >

integral from 0 to 3 of |x-2|

Solution

\int_{0}^{3} ∣ x - 2 ∣ d x

Solution

\frac{5}{2}

+1

Decimal Notation

2.5

Solution steps

\int_{0}^{3} ∣ x - 2 ∣ d x

Eliminate Absolutes

= \int_{0}^{2} - x + 2 d x + \int_{2}^{3} x - 2 d x

\int_{0}^{2} - x + 2 d x = 2

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

= 2 + \frac{1}{2}

Simplify

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

= \frac{5}{2}

Popular Examples

integral of 1/(x^2-2x+65)

\int \frac{1}{x ^{2} - 2 x + 65} d x

tangent of f(x)=x^2+3x,\at x=-2 tangent of

f (x) = x^{2} + 3 x, at x = - 2

derivative of sqrt(((z-1))/(z+1))derivative of

\frac{( z - 1 )}{z + 1}

integral of (6x-1)/(4x^2+4x+10)

\int \frac{6 x - 1}{4 x ^{2} + 4 x + 10} d x

integral of (28)/((196x^2+1)^2)

\int \frac{28}{( 196 x ^{2} + 1 ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of |x-2| ?
The integral from 0 to 3 of |x-2| is 5/2