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Popular Calculus >

integral of (ye^y+2)

Solution

\int (y e^{y} + 2) d y

Solution

e^{y} y - e^{y} + 2 y + C

Solution steps

\int y e^{y} + 2 d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int y e^{y} d y + \int 2 d y

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

\int 2 d y = 2 y

= e^{y} y - e^{y} + 2 y

Add a constant to the solution

= e^{y} y - e^{y} + 2 y + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (ye^y+2) ?
The integral of (ye^y+2) is e^yy-e^y+2y+C