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Popular >

integral from-7 to 4 of | 1/2 x|

Solution

\int_{- 7}^{4} \frac{1}{2} x d x

Solution

\frac{65}{4}

+1

Decimal Notation

16.25

Solution steps

\int_{- 7}^{4} \frac{1}{2} x d x

Eliminate Absolutes

= \int_{- 7}^{0} - \frac{x}{2} d x + \int_{0}^{4} \frac{1}{2} x d x

\int_{- 7}^{0} - \frac{x}{2} d x = \frac{49}{4}

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

= \frac{49}{4} + 4

Simplify

\frac{49}{4} + 4 : \frac{65}{4}

= \frac{65}{4}

Popular Examples

integral from 3 to 6 of (2x+9)

\int_{3}^{6} (2 x + 9) d x

integral from 2 to 7 of sqrt(3x-1)

\int_{2}^{7} 3 x - 1 d x

integral from 0 to 4 of pi(y^2)^2

\int_{0}^{4} π (y^{2})^{2} d y

integral from 0 to 10 of 0.5q+25

\int_{0}^{10} 0.5 q + 25 d q

integral from 0 to 7 of-0.4x^2+1000

\int_{0}^{7} - 0.4 x^{2} + 1000 d x

Frequently Asked Questions (FAQ)

What is the integral from-7 to 4 of | 1/2 x| ?
The integral from-7 to 4 of | 1/2 x| is 65/4