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Popular >

integral of y*e^y

Solution

\int y \cdot 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

integral of xsin(bx)

\int x sin (b x) d x

integral of-x^2+3

\int - x^{2} + 3 d x

derivative of xsqrt(x-3)

\frac{d}{d x} (x x - 3)

integral of 3sin(2t)

\int 3 sin (2 t) d t

integral of ln(x^2+5)

\int ln (x^{2} + 5) d x

Frequently Asked Questions (FAQ)

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