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Popular >

integral from-4 to 4 of |x-3|

Solution

\int_{- 4}^{4} ∣ x - 3 ∣ d x

Solution

25

Solution steps

\int_{- 4}^{4} ∣ x - 3 ∣ d x

Eliminate Absolutes

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

\int_{- 4}^{3} - x + 3 d x = \frac{49}{2}

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

= \frac{49}{2} + \frac{1}{2}

Simplify

\frac{49}{2} + \frac{1}{2} : 25

= 25

Graph

Popular Examples

derivative of f(x)=((x^3)/(x^8+5))^2 derivative of

f (x) = (\frac{x ^{3}}{x ^{8} + 5})^{2}

(dy)/(dx)=x^{1/4}+x^{-3/5}

\frac{d y}{d x} = x^{\frac{1}{4}} + x^{- \frac{3}{5}}

integral from 1/3 to 5 of 10xln(3x)

\int_{\frac{1}{3}}^{5} 10 x ln (3 x) d x

integral from 0 to 2pi of x^2cos(nx)

\int_{0}^{2 π} x^{2} cos (n x) d x

integral of (ln(22x))/x

\int \frac{ln ( 22 x )}{x} d x

Frequently Asked Questions (FAQ)

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