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Popular Calculus >

integral of 2+ye^{xy}

Solution

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

Solution

2 x + e^{y x} + C

Solution steps

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

Apply the Sum Rule:

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

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

\int 2 d x = 2 x

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

= 2 x + e^{y x}

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 2+ye^{xy} ?
The integral of 2+ye^{xy} is 2x+e^{yx}+C