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Popular >

integral from 1 to 4 of |3-x|

Solution

\int_{1}^{4} ∣ 3 - x ∣ d x

Solution

\frac{5}{2}

+1

Decimal

2.5

Solution steps

\int_{1}^{4} ∣ 3 - x ∣ d x

Eliminate Absolutes

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

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

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

= 2 + \frac{1}{2}

Simplify

2 + \frac{1}{2} : \frac{5}{2}

= \frac{5}{2}

Graph

Popular Examples

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

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

integral from 1 to infinity of x^2+x+1

\int_{1}^{\infty} x^{2} + x + 1 d x

integral from 0 to 2 of 2e^{x^2-x}

\int_{0}^{2} 2 e^{x^{2} - x} d x

integral from 0 to pi/4 of 16cos^2(x)

\int_{0}^{\frac{π}{4}} 16 cos^{2} (x) d x

integral from 0 to 24 of xsqrt(x+a)

\int_{0}^{24} x x + a d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of |3-x| ?
The integral from 1 to 4 of |3-x| is 5/2