What is the integral of (e^xsin(y)) ?

The integral of (e^xsin(y)) is sin(y)e^x+C

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integral of (e^xsin(y))

\int (e^{x} sin (y)) d x

sin (y) e^{x} + C

Solution steps

\int e^{x} sin (y) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= sin (y) \cdot \int e^{x} d x

Use the common integral:

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

= sin (y) e^{x}

Add a constant to the solution

= sin (y) e^{x} + C

\int \frac{e ^{x}}{( 1 - e ^{x} ) ^{5}} d x

\int \frac{x + 2}{x - 2} d x

f (x) = \frac{1}{x + 8}, at x = 5

x \to 4 - lim (\frac{( 1 - x )}{4 - x})

cos (6 x) (\frac{d y}{d x}) + 6 (tan (6 x)) y = 5 sec (6 x)

What is the integral of (e^xsin(y)) ?
The integral of (e^xsin(y)) is sin(y)e^x+C