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# another P5 HELP!!!!!!! watch

1. two hours and the exam, but one hour for me..pls. anyone the one below. ur support appreciated.
ALL THE BEST.

Given that In = ∫(1/1+x²)^n dx, limits 0 to 1

Show that

2(n-1)In = 2^(1-n) + (2n – 3)I(n-1)
2. (Original post by ruzaika)
two hours and the exam, but one hour for me..pls. anyone the one below. ur support appreciated.
ALL THE BEST.

Given that In = ∫(1/1+x²)^n dx, limits 0 to 1

Show that

2(n-1)In = 2^(1-n) + (2n – 3)I(n-1)
∫(1/1+x²).1dx
then using the product rule. ithink that okay now
3. (Original post by ruzaika)
two hours and the exam, but one hour for me..pls. anyone the one below. ur support appreciated.
ALL THE BEST.

Given that In = ∫(1/1+x²)^n dx, limits 0 to 1

Show that

2(n-1)In = 2^(1-n) + (2n – 3)I(n-1)
Obviously there is no in the answer so we clearly don't split it and integrate by parts.

Clearly we now have a relation between and , so we need to let change to to obtain a relation between and .

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