how to handle fraction + integral?
The equation from my book: (25.4)
integral u^n du = u^(n+1) / (n + 1) + c
says in the book its a confusing equation to boot. Can I get an explanation on this quiz question?
x / sqrt(6x^2 + 1)
steps, per answer key:
u = 6x^2 + 1
du = 12x dx
Ok, so u is the denominator, and du is the derivative of the denominator... do I have the wrong equation for this question?? I'll stop there, but the answer key proceeds.
1/12 (int symbol) u ^ -1/2
1/6 (6x^2 + 1)^1/2 + C
Re: how to handle fraction + integral?
I think that almost always students who are confused by u-substitution are so because they fail to consider the derivative.
Originally Posted by togo
For example: if what is .
Do all of the steps, carefully and one at a time.