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Popular >

integral of y(e^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

derivative of ln(x+1-e^{3x})

\frac{d}{d x} (ln (x + 1) - e^{3 x})

limit as x approaches-infinity of \sqrt[x]{2}

tangent of f(x)=x^2+9,(-4,25)tangent of

f (x) = x^{2} + 9, (- 4, 25)

integral of 1/((1-x)^4)

\int \frac{1}{( 1 - x ) ^{4}} d x

(\partial)/(\partial x)(8e^{ysqrt(x)}-x^2y^3)

\frac{\partial}{\partial x} (8 e^{y x} - x^{2} y^{3})

Frequently Asked Questions (FAQ)

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