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Popular >

integral from-3 to 4 of | 1/2 x|

Solution

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

Solution

\frac{25}{4}

+1

Decimal

6.25

Solution steps

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

Eliminate Absolutes

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

\int_{- 3}^{0} - \frac{x}{2} d x = \frac{9}{4}

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

= \frac{9}{4} + 4

Simplify

\frac{9}{4} + 4 : \frac{25}{4}

= \frac{25}{4}

Graph

Popular Examples

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\int_{1}^{5} (x^{3} + x^{2} - x + 2) d x

integral from 0 to 2 of x^3+2x

\int_{0}^{2} x^{3} + 2 x d x

integral from 0 to 2pi of θsin(nθ)

\int_{0}^{2 π} θ sin (n θ) d θ

integral from 3 to 4 of 7x

\int_{3}^{4} 7 x d x

integral from 0 to 8 of x^3-10x^2+24x

\int_{0}^{8} x^{3} - 10 x^{2} + 24 x d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 4 of | 1/2 x| ?
The integral from-3 to 4 of | 1/2 x| is 25/4