What is the integral of e^x-4cos(x) ?

The integral of e^x-4cos(x) is e^x-4sin(x)+C

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integral of e^x-4cos(x)

\int e^{x} - 4 cos (x) d x

e^{x} - 4 sin (x) + C

Solution steps

\int e^{x} - 4 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 4 cos (x) d x

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

\int 4 cos (x) d x = 4 sin (x)

= e^{x} - 4 sin (x)

Add a constant to the solution

= e^{x} - 4 sin (x) + C

\int (\frac{( 1 - x )}{x})^{2} d x

\int \frac{x}{( 4 x + 1 ) ^{\frac{2}{3}}} d x

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

\int \frac{1}{( 2 + sin ( x ) ) cos ( x )} d x

\int \frac{5 ^{\frac{1}{x}}}{x ^{2}} d x

What is the integral of e^x-4cos(x) ?
The integral of e^x-4cos(x) is e^x-4sin(x)+C