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Popular >

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

Solution

\int_{- 3}^{2} ∣ x + 1 ∣ d x

Solution

\frac{13}{2}

+1

Decimal Notation

6.5

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 = 2

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

= 2 + \frac{9}{2}

Simplify

2 + \frac{9}{2} : \frac{13}{2}

= \frac{13}{2}

Popular Examples

limit as x approaches 1 of (2x)/(ln(x))

x \to 1 lim (\frac{2 x}{ln ( x )})

slope of (2.9)(9.7)slope

(2.9) (9.7)

derivative of f(x)=sqrt(6-x)derivative of

f (x) = 6 - x

integral from 0 to 2 of e^{x/2}

\int_{0}^{2} e^{\frac{x}{2}} d x

(dy)/(dx)=(xy^3)/(sqrt(1+x^2))

\frac{d y}{d x} = \frac{x y ^{3}}{1 + x ^{2}}

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 13/2