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Popular >

integral from-2 to 5 of |x-3|

Solution

\int_{- 2}^{5} ∣ x - 3 ∣ d x

Solution

\frac{29}{2}

+1

Decimal Notation

14.5

Solution steps

\int_{- 2}^{5} ∣ x - 3 ∣ d x

Eliminate Absolutes

= \int_{- 2}^{3} - x + 3 d x + \int_{3}^{5} x - 3 d x

\int_{- 2}^{3} - x + 3 d x = \frac{25}{2}

\int_{3}^{5} x - 3 d x = 2

= \frac{25}{2} + 2

Simplify

\frac{25}{2} + 2 : \frac{29}{2}

= \frac{29}{2}

Popular Examples

integral of xcos(pix)

\int x cos (π x) d x

integral of (3+e^x(y^2+3y+2))

\int (3 + e^{x} (y^{2} + 3 y + 2)) d x

(\partial)/(\partial x)(y/((x+z)))

\frac{\partial}{\partial x} (\frac{y}{( x + z )})

integral of 4x^2+5x-3

\int 4 x^{2} + 5 x - 3 d x

tangent of y=(10)/(1+e^{-x)},(0,5)tangent of

y = \frac{10}{1 + e ^{- x}}, (0, 5)

Frequently Asked Questions (FAQ)

What is the integral from-2 to 5 of |x-3| ?
The integral from-2 to 5 of |x-3| is 29/2