Hi again,
I didn't quite understand part ii) of this question... how did the answer get ln? I thought when integrating (x^2+3)^-0.5 you could use the reverse chain rule so t = (x^2+3)^0.5/(0.5 x 2x). Could someone please explain? Thank you!!
Hey!
The thing to note, when doing the reverse chain rule, is that
you cannot do it when, inside the brackets, there is a non-linear function. So, you can integrate
But you cannot integrate
using the reverse chain rule. You have to use alternate means, such as the table of standard integrals (as is the case in this question). So, knowing that you can't actually integrate using the reverse chain rule in this case, does the answer described make sense? Like you understand their application of the table of standard integrals?
Great question though!
Jake