Question

Integration (x-a/x - x/x+a)

Answer 1

Answer:

=2x+a-a log x -a log(x+a)

Step-by-step explanation:

∫x-a/x+∫x/x+a

=∫1-a/x+∫x dx/x+a

x-a logx +∫x dx/x+a

x+a=t

dt=dx

x=t-a

∫x dx/x+a=∫ 1-a/t dt

x-a logx +t-a log t

=x-a logx +x+a-a log(x+a)

2x+a-a log x-a log(x+a)