Given I_n = integral of x^n divided by sqrt(x^2-a^2) dx show that
nI_n - (n-1)a^2I_(n-2)=x^(n-1)sqrt(x^2-a^2).
I can't prove it. Can anyone help. Note I_n means I then subscript n like for recurrence integral questions.
Thanks!
Not sure if you guys have seen this before but here is a test that you can use to decide whether or not you are suited to enrolling in Advanced Level Maths at the University of Sydney.
Student Self Test
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T01.
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