What is the integral of e^2-2cos(x) ?

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

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integral of e^2-2cos(x)

\int e^{2} - 2 cos (x) d x

e^{2} x - 2 sin (x) + C

Solution steps

\int e^{2} - 2 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^{2} d x - \int 2 cos (x) d x

\int e^{2} d x = e^{2} x

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

= e^{2} x - 2 sin (x)

Add a constant to the solution

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

n = 1 \sum \infty \frac{1}{n ^{\frac{1}{2}}}

y = 12 cos (2) (x)

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

4 y^{^{'}} + t y = 3

\int x^{5} e^{2 x} d x

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