Integration

Question 1

Remember how to integrate using partial fractions

Answer 1

Split up using partial then integrate serpatly. Might have to further split up again

Question 2

How to integrate if inspection / partial not working

Answer 2

Must use u sub, and do du / dx and rearrange

Change the limits, or keep them as x = if gonna repalce u with x

Eady

Question 3

Remember how to itnebrwte ln x

Answer 3

1x ln x , where lnx is u , late means logs so ln chosen furst

Question 4

I’d approximation doesnt work what to do

Answer 4

Multiple years everything by 2 to make it so that x you can sub in is smaller
Mut,illy the expansion by 2 aswell , this might mean multiplying the inside by 4 as reversing the sqaure root

Question 5

Remmeber how to find thr intersection for the regions where valid

Answer 5

Write both out and find what does both

Now remember if only want a few terms ignore everything you don’t need