Ask Singapore Homework?

Upload a photo of a Singapore homework and someone will email you the solution for free.



Question

|
One Answer Below

Anyone can contribute an answer, even non-tutors.

Answer This Question
New Zealand
New Zealand

JC chevron_right Malaysia

Help... Pls...

Date Posted: 5 years ago
Views: 352

See 1 Answer

done {{ upvoteCount }} Upvotes
clear {{ downvoteCount * -1 }} Downvotes
Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
1st
There are three things that we need to do for substitutions.

1. DIfferentiate u with respect to x and obtain du in terms of dx

2. Express x in terms of u so that we can make later substitutions.

3. Change the limits of integration from x to u i.e. x to ln x.

Finally, we place everything in. Do everything at the same step i.e. change the limits and the letters all at once or there may be confusions.

Halfway through, I realise that I have to do integration by parts. You will then need to apply the idea for integration by parts which you probably know how to do.

Of course, since the letter u is being used here, calling out 'du/dx' does not make sense since u is the variable to be differentiated or integrated (and therefore du should be at the bottom of the fraction), hence I call the expression 'dp/du' and 'dq/du'.