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

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

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integral of e^xsin(yz)

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

sin (yz) e^{x} + C

Solution steps

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

Take the constant out:

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

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

Use the common integral:

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

= sin (yz) e^{x}

Add a constant to the solution

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

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

\frac{d y}{d x} = \frac{9 x}{10 y}

\frac{\partial}{\partial x} (\frac{V ( x )}{x})

\int \frac{x}{( x - 2 ) ( x ^{2} - 4 x + 5 ) ^{2}} d x

x \to 2 lim (x^{5} - 8 - 2)