I must solve .

I think it's a first order linear non homogeneous DE which can be solved by the integrating factor method.

So far I've rewritten the equation as .

I found the integrating factor to be .

So multiplying the DE by it and integrating with respect to x, I found out that .

I thought of using integration by parts to solve the integral, but I'm stuck at finding a primitive of , as stupid as it may sound.

Am I in the right direction? If so, could you provide a tip to find a primitive of ?

Thanks in advance.