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Popular >

integral from 0 to 9 of |7-x|

Solution

\int_{0}^{9} ∣ 7 - x ∣ d x

Solution

\frac{53}{2}

+1

Decimal Notation

26.5

Solution steps

\int_{0}^{9} ∣ 7 - x ∣ d x

Eliminate Absolutes

= \int_{0}^{7} 7 - x d x + \int_{7}^{9} - 7 + x d x

\int_{0}^{7} 7 - x d x = \frac{49}{2}

\int_{7}^{9} - 7 + x d x = 2

= \frac{49}{2} + 2

Simplify

\frac{49}{2} + 2 : \frac{53}{2}

= \frac{53}{2}

Popular Examples

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

\int_{0}^{2} x (2 - x) d x

integral from 0 to 1 of (ln(x))/(1+x^2)

\int_{0}^{1} \frac{ln ( x )}{1 + x ^{2}} d x

integral from 1 to infinity of 2x^{-3}

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

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

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

integral from-1 to 4 of-x^2+3x+4

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 9 of |7-x| ?
The integral from 0 to 9 of |7-x| is 53/2