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Popular >

integral from-9 to 4 of | 1/2 x|

Solution

\int_{- 9}^{4} \frac{1}{2} x d x

Solution

\frac{97}{4}

+1

Decimal Notation

24.25

Solution steps

\int_{- 9}^{4} \frac{1}{2} x d x

Eliminate Absolutes

= \int_{- 9}^{0} - \frac{x}{2} d x + \int_{0}^{4} \frac{1}{2} x d x

\int_{- 9}^{0} - \frac{x}{2} d x = \frac{81}{4}

\int_{0}^{4} \frac{1}{2} x d x = 4

= \frac{81}{4} + 4

Simplify

\frac{81}{4} + 4 : \frac{97}{4}

= \frac{97}{4}

Popular Examples

integral from x to x^4 of ln(x)

\int_{x}^{x^{4}} ln (x) d x

integral from 0 to 1 of 4x^3-3x^2

\int_{0}^{1} 4 x^{3} - 3 x^{2} d x

integral from 0 to 1 of xe^{4x^2+3}

\int_{0}^{1} x e^{4 x^{2} + 3} d x

integral from 0 to 1 of (x+1)sqrt(x)

\int_{0}^{1} (x + 1) x d x

integral from 0 to pi/6 of (cos(x))

\int_{0}^{\frac{π}{6}} (cos (x)) d x

Frequently Asked Questions (FAQ)

What is the integral from-9 to 4 of | 1/2 x| ?
The integral from-9 to 4 of | 1/2 x| is 97/4