What is the integral of 3e^x+2sin(x) ?

The integral of 3e^x+2sin(x) is 3e^x-2cos(x)+C

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integral of 3e^x+2sin(x)

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

3 e^{x} - 2 cos (x) + C

Solution steps

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

\int 3 e^{x} d x = 3 e^{x}

\int 2 sin (x) d x = - 2 cos (x)

= 3 e^{x} - 2 cos (x)

Add a constant to the solution

= 3 e^{x} - 2 cos (x) + C

\frac{d}{d x} (\frac{x - 0.5}{( x + 0.5 + i ) ^{2}})

y = x^{4} + 3 e^{x}, (0, 3)

\int x (sin (x) - 2) d x

\frac{\partial}{\partial x} (4^{(x^{9})})

What is the integral of 3e^x+2sin(x) ?
The integral of 3e^x+2sin(x) is 3e^x-2cos(x)+C