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Popular >

integral from 0 to 15 of |13-x|

Solution

\int_{0}^{15} ∣ 13 - x ∣ d x

Solution

\frac{173}{2}

+1

Decimal Notation

86.5

Solution steps

\int_{0}^{15} ∣ 13 - x ∣ d x

Eliminate Absolutes

= \int_{0}^{13} 13 - x d x + \int_{13}^{15} - 13 + x d x

\int_{0}^{13} 13 - x d x = \frac{169}{2}

\int_{13}^{15} - 13 + x d x = 2

= \frac{169}{2} + 2

Simplify

\frac{169}{2} + 2 : \frac{173}{2}

= \frac{173}{2}

Popular Examples

integral from 0 to 1 of x^2e^{6x}

\int_{0}^{1} x^{2} e^{6 x} d x

integral from-1 to 0 of x^2-2x

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

integral from 1 to 2 of x^3cos(x^4)

\int_{1}^{2} x^{3} cos (x^{4}) d x

integral from 1 to 3 of 4e^{x-1}

\int_{1}^{3} 4 e^{x - 1} d x

integral from-1 to 3 of (2x+3-x^2)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 15 of |13-x| ?
The integral from 0 to 15 of |13-x| is 173/2