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Popular >

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

Solution

\int_{0}^{5} ∣ 15 - 5 t ∣ d t

Solution

\frac{65}{2}

+1

Decimal Notation

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}

Popular Examples

derivative of f(xx^'(x))

\frac{d}{d x} (f (x) x^{^{'}} (x))

(\partial)/(\partial x)(ln(8x^2+3y^2+3))

\frac{\partial}{\partial x} (ln (8 x^{2} + 3 y^{2} + 3))

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

y^{'''}+3y^{''}+3y^'+y=0

y^{^{'''}} + 3 y^{^{''}} + 3 y^{^{'}} + y = 0

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

\frac{\partial}{\partial x} (\frac{5 y}{x ^{3}})

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