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Popular >

integral from 0 to 4 of |2x-5|

Solution

\int_{0}^{4} ∣ 2 x - 5 ∣ d x

Solution

\frac{17}{2}

+1

Decimal Notation

8.5

Solution steps

\int_{0}^{4} ∣ 2 x - 5 ∣ d x

Eliminate Absolutes

= \int_{0}^{\frac{5}{2}} - 2 x + 5 d x + \int_{\frac{5}{2}}^{4} 2 x - 5 d x

\int_{0}^{\frac{5}{2}} - 2 x + 5 d x = \frac{25}{4}

\int_{\frac{5}{2}}^{4} 2 x - 5 d x = \frac{9}{4}

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

Simplify

\frac{25}{4} + \frac{9}{4} : \frac{17}{2}

= \frac{17}{2}

Popular Examples

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\int_{1}^{s i n (x)} 3 t^{2} d t

integral from-1 to 0 of x^5sqrt(x^3+1)

\int_{- 1}^{0} x^{5} x^{3} + 1 d x

integral from-1 to 1 of 1/(1-x^2)

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

integral from 50 to 100 of x/(15+4x^2)

\int_{50}^{100} \frac{x}{15 + 4 x ^{2}} d x

integral from-2 to 3 of e^{u+2}

\int_{- 2}^{3} e^{u + 2} d u

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of |2x-5| ?
The integral from 0 to 4 of |2x-5| is 17/2