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Popular >

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

Popular Examples

integral of (x^2-8x+15)/(x^2-6x+5)

\int \frac{x ^{2} - 8 x + 15}{x ^{2} - 6 x + 5} d x

integral of 4/((1+4x^2)^2)

\int \frac{4}{( 1 + 4 x ^{2} ) ^{2}} d x

integral of (3x^4-2x^2+1)/(x^4)

\int \frac{3 x ^{4} - 2 x ^{2} + 1}{x ^{4}} d x

integral of (2x^2+5)e^{-3x}

\int (2 x^{2} + 5) e^{- 3 x} d x

integral of (x+2)2

\int (x + 2) 2 d x

Frequently Asked Questions (FAQ)

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