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Popular >

integral from-9 to 4 of |x+5|

Solution

\int_{- 9}^{4} ∣ x + 5 ∣ d x

Solution

\frac{97}{2}

+1

Decimal Notation

48.5

Solution steps

\int_{- 9}^{4} ∣ x + 5 ∣ d x

Eliminate Absolutes

= \int_{- 9}^{- 5} - x - 5 d x + \int_{- 5}^{4} x + 5 d x

\int_{- 9}^{- 5} - x - 5 d x = 8

\int_{- 5}^{4} x + 5 d x = \frac{81}{2}

= 8 + \frac{81}{2}

Simplify

8 + \frac{81}{2} : \frac{97}{2}

= \frac{97}{2}

Popular Examples

integral of x/(sqrt(x^2-6x+8))

\int \frac{x}{x ^{2} - 6 x + 8} d x

x^{^{'}} = x^{2}, x (0) = 1

sum from n=0 to infinity of (1/2)^{2n+1}

n = 0 \sum \infty (\frac{1}{2})^{2 n + 1}

derivative of 1/(x+1/x)derivative of

\frac{1}{x + \frac{1}{x}}

limit as x approaches+(-0) of f(x)

x \to + (- 0) lim (f (x))

Frequently Asked Questions (FAQ)

What is the integral from-9 to 4 of |x+5| ?
The integral from-9 to 4 of |x+5| is 97/2