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Popular >

integral from 0 to 3 of (|2x-3|)

Solution

\int_{0}^{3} (∣ 2 x - 3 ∣) d x

Solution

\frac{9}{2}

+1

Decimal

4.5

Solution steps

\int_{0}^{3} ∣ 2 x - 3 ∣ d x

Eliminate Absolutes

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

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

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

= \frac{9}{4} + \frac{9}{4}

Simplify

\frac{9}{4} + \frac{9}{4} : \frac{9}{2}

= \frac{9}{2}

Graph

Popular Examples

limit as x approaches+4 of 6

x \to + 4 lim (6)

area |x-15|, x/2 area

∣ x - 15 ∣, \frac{x}{2}

y^{^{''}} + 36 = 0

y^{^{'}} + \frac{y}{x} = 6 x

tangent of f(x)=x^2+x,(-4,12)tangent of

f (x) = x^{2} + x, (- 4, 12)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (|2x-3|) ?
The integral from 0 to 3 of (|2x-3|) is 9/2