What is the integral from 0 to infinity of ((ye^{-y/a}))/a ?

The integral from 0 to infinity of ((ye^{-y/a}))/a is a

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integral from 0 to infinity of ((ye^{-y/a}))/a

\int_{0}^{\infty} \frac{( y e ^{- \frac{y}{a}} )}{a} d y

a

Solution steps

\int_{0}^{\infty} \frac{y e ^{- \frac{y}{a}}}{a} d y

Compute the indefinite integral:

\int \frac{y e ^{- \frac{y}{a}}}{a} d y = - e^{- \frac{y}{a}} (y + a) + C

Compute the boundaries:

\int_{0}^{\infty} \frac{( y e ^{- \frac{y}{a}} )}{a} d y = 0 - (- a)

= 0 - (- a)

Simplify

= a

y = x^{2} - 4 x, y = 2 x + 7

\frac{d y}{d x} = \frac{x ^{3} - y ^{3}}{3 x y ^{2}}

\int 3 ln (x^{2} - x + 4) d x

((x - 2)^{2} (x + 4))^{^{'}}

n = 1 \sum \infty \frac{n}{3 ^{n^{2}}}

What is the integral from 0 to infinity of ((ye^{-y/a}))/a ?
The integral from 0 to infinity of ((ye^{-y/a}))/a is a