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

\frac{d}{d x} (y^{2} - 2 y \cdot cos (x))

(1 + cos (t)) y^{^{'}} = (1 + e - y) sin (t), y (0) = 0

(x - 2)^{2} (x - 1)

\frac{d v}{d t} = 0.64 - \frac{v}{29400} \cdot 8, v (0) = 0

cos (2 (t + 1))