# How do you find the indefinite integral of ∫ (x - sinx ) dx / x^2 + 2 cosx ?

##### 1 Answer

Apr 15, 2018

#### Explanation:

We want to solve

#I=int(x-sin(x))/(x^2+2cos(x))dx#

Make a substitution

#I=1/2int1/udu#

#color(white)(I)=1/2ln(u)+C#

#color(white)(I)=1/2ln(x^2+2cos(x))+C#