Use partial fractions to find the indefinite integral

Let's use partial fraction decomposition on the integrand,

comparing the coefficients of the like terms,

Plug in the value of A in the above equation,

So now 

Now apply the sum rule,

Take the constant's out,

Now let's evaluate each of the above two integrals separately,

Apply integral substitution 

Use the common integral :

Substitute back 

Now evaluate...

Let's use partial fraction decomposition on the integrand,

comparing the coefficients of the like terms,

Plug in the value of A in the above equation,

So now 

Now apply the sum rule,

Take the constant's out,

Now let's evaluate each of the above two integrals separately,

Apply integral substitution 

Use the common integral :

Substitute back 

Now evaluate the second integral,

Apply integral substitution:

Apply the power rule,

Substitute back 

Add a constant C to the solution,