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Popular Calculus >

integral from 0 to 5 of |15-5t|

Solution

\int_{0}^{5} ∣ 15 - 5 t ∣ d t

Solution

\frac{65}{2}

+1

Decimal

32.5

Solution steps

\int_{0}^{5} ∣ 15 - 5 t ∣ d t

Eliminate Absolutes

= \int_{0}^{3} 15 - 5 t d t + \int_{3}^{5} - 15 + 5 t d t

\int_{0}^{3} 15 - 5 t d t = \frac{45}{2}

\int_{3}^{5} - 15 + 5 t d t = 10

= \frac{45}{2} + 10

Simplify

\frac{45}{2} + 10 : \frac{65}{2}

= \frac{65}{2}

Graph

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integral of (10x^4-9x^2)/(2x^5-3x^3+14)

\int \frac{10 x ^{4} - 9 x ^{2}}{2 x ^{5} - 3 x ^{3} + 14} d x

(\partial)/(\partial x)((5y)/(x^3))

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y^{''}-9y^'+18y=5sin(4t),y(0)=5,y^'(0)=2

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of |15-5t| ?
The integral from 0 to 5 of |15-5t| is 65/2