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Popular >

integral of ye^y

Solution

\int y e^{y} d y

Solution

e^{y} y - e^{y} + C

Solution steps

\int y e^{y} d y

Apply Integration By Parts

: e^{y} y - \int e^{y} d y

= e^{y} y - \int e^{y} d y

\int e^{y} d y = e^{y}

= e^{y} y - e^{y}

Add a constant to the solution

= e^{y} y - e^{y} + C

Popular Examples

limit as x approaches infinity of 5x+4

x \to \infty lim (5 x + 4)

(\partial)/(\partial x)(xsin(7x^2y))

\frac{\partial}{\partial x} (x sin (7 x^{2} y))

limit as x approaches 0 of (x^2+1)/x

x \to 0 lim (\frac{x ^{2} + 1}{x})

derivative of G(t)=(1-5t)/(4+t)derivative of

G (t) = \frac{1 - 5 t}{4 + t}

(\partial)/(\partial y)(-y/((x^2+y^2)))

\frac{\partial}{\partial y} (- \frac{y}{( x ^{2} + y ^{2} )})

Frequently Asked Questions (FAQ)

What is the integral of ye^y ?
The integral of ye^y is e^yy-e^y+C