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

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

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

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

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

Solution steps

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

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

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

= e^{x} + sin (x)

Add a constant to the solution

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

\int \frac{3}{5} x^{2} d x

\int x \cdot sin (2 x) cos (2 x) d x

\int (\frac{3}{4} x^{2} - 16 x) (\frac{3}{2} x - 16) d x

e^{\frac{2}{x}}

\int \frac{1}{( 3 z + 10 ) ^{7}} d z

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