# Integrate 1/9+cosx dx?

##### 1 Answer

Jun 20, 2018

#### Explanation:

The integral is linear, i.e.

so, in particular,

In this case,

The integral of every costant

while the integral of the cosine function is the sine function:

both results can easily be shown by deriving: if you derive a first degree polynomial you get a constant, while if you derive the sine function, you get the cosine function.

So, the final answer is