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Popular >

integral from 0 to 11 of |9-x|

Solution

\int_{0}^{11} ∣ 9 - x ∣ d x

Solution

\frac{85}{2}

+1

Decimal

42.5

Solution steps

\int_{0}^{11} ∣ 9 - x ∣ d x

Eliminate Absolutes

= \int_{0}^{9} 9 - x d x + \int_{9}^{11} - 9 + x d x

\int_{0}^{9} 9 - x d x = \frac{81}{2}

\int_{9}^{11} - 9 + x d x = 2

= \frac{81}{2} + 2

Simplify

\frac{81}{2} + 2 : \frac{85}{2}

= \frac{85}{2}

Graph

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\int_{0}^{1} y^{2} (1 - y^{\frac{3}{2}}) d y

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\int_{0}^{2} x^{2} - 2 x + 1 d x

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\int_{0}^{\frac{π}{4}} 3 sec (θ) tan (θ) d θ

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\int_{2}^{4} 3 d x

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\int_{- \frac{π}{6}}^{\frac{π}{6}} (sec^{2} (x)) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 11 of |9-x| ?
The integral from 0 to 11 of |9-x| is 85/2