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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

integral from 0 to 5 of pi(2sqrt(5y))^2

\int_{0}^{5} π (2 5 y)^{2} d y

integral of (e^x)/(36-e^{2x)}

\int \frac{e ^{x}}{36 - e ^{2 x}} d x

integral of xsqrt(2-x)

\int x 2 - x d x

derivative of (2x-1/(x^2+1))

\frac{d}{d x} (\frac{2 x - 1}{x ^{2} + 1})

(\partial)/(\partial x)(3/(\sqrt[3]{x)})

Frequently Asked Questions (FAQ)

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