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Hi Guys,
I've been asked to substitute u = x^3 in the following integral int x^2/ (1+x^6)
Do I substitute by int x^2/(u^3) and have a scaler out the front?
or do I start by having int u^-1 / 1+ u^3.
Any help to point me in the right direction would be greatly appreciated.
regards
Brendan
Hi Guys Thankyou for your replies.
Do you always solve for X if the derivative of the inner function (3x + 8 ) is not the exactly the first function ie x
once again thank you.
regards
Brendan
Hi Guys,
Im working on an integration problem using substitution and wondering if I'm doing it right.
Can some one please Have a look and see how i'm going?
The problem is int x sqrt 3*x+8
first I let u = 3*x + 8 which makes du/dx = 3
I than integrate int sqrt u = int u^1/2
= 1/3 int 2/3 (u^3/2) + C
=1/3 (2/3(3*x+8)^3/2 + C)
Is this right?
regards
Brendan
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