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Popular >

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

Solution

\int_{- 3}^{3} ∣ x + 2 ∣ d x

Solution

13

Solution steps

\int_{- 3}^{3} ∣ x + 2 ∣ d x

Eliminate Absolutes

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

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

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

= \frac{1}{2} + \frac{25}{2}

Simplify

\frac{1}{2} + \frac{25}{2} : 13

= 13

Popular Examples

integral of e^{6x}sin(7x)

\int e^{6 x} sin (7 x) d x

slope of (4,-5),(6,-1)slope

(4, - 5), (6, - 1)

tangent of x/(1+x^2),\at x=1 tangent of

\frac{x}{1 + x ^{2}}, at x = 1

(\partial)/(\partial y)(x*sin(xy))

\frac{\partial}{\partial y} (x \cdot sin (x y))

derivative of y=ln(e^{-x}+xe^{-x})derivative of

y = ln (e^{- x} + x e^{- x})

Frequently Asked Questions (FAQ)

What is the integral from-3 to 3 of |x+2| ?
The integral from-3 to 3 of |x+2| is 13