What is the integral of (cos(x)+3^x) ?

The integral of (cos(x)+3^x) is sin(x)+(3^x)/(ln(3))+C

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integral of (cos(x)+3^x)

\int (cos (x) + 3^{x}) d x

sin (x) + \frac{3 ^{x}}{ln ( 3 )} + C

Solution steps

\int cos (x) + 3^{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 cos (x) d x + \int 3^{x} d x

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

\int 3^{x} d x = \frac{3 ^{x}}{ln ( 3 )}

= sin (x) + \frac{3 ^{x}}{ln ( 3 )}

Add a constant to the solution

= sin (x) + \frac{3 ^{x}}{ln ( 3 )} + C

x \to 0 lim (\frac{( 2 - x ) ^{2} + 1}{x})

\frac{d}{d x} (arcsec (7 ln (4 x)))

\int_{- \infty}^{\infty} 15 x e^{- x^{2}} d x

\frac{\partial}{\partial z} (e^{x} cos (y))

\frac{\partial}{\partial x} (x^{2} + 3 x y + y - 1)

What is the integral of (cos(x)+3^x) ?
The integral of (cos(x)+3^x) is sin(x)+(3^x)/(ln(3))+C