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anonymous
 4 years ago
find the following indefinite integral using usubstitution to solve... HELP
anonymous
 4 years ago
find the following indefinite integral using usubstitution to solve... HELP

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{}6x \sqrt{x^225}dx\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I know I let u=x^225 which makes du=2xdx

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i am stuck at a particular step.. i will show you what i have so far

mathmate
 4 years ago
Best ResponseYou've already chosen the best response.0hint: try u=sqrt(x^225) or try differentiating sqrt(x^225) and see what you get.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok then dx = du/2x \[\int\limits_{}^{}\frac{6x \sqrt{u}}{2x} du =3 \int\limits_{}^{}\sqrt{u} du\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{}\sqrt{x^225}\times6xdx = 3\int\limits_{}^{}\sqrt{x^225}\times2xdx = 3\int\limits_{}^{}\sqrt{u}du\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\sqrt{u} = u^{1/2}\] use the power rule

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\large \int\limits_{}^{}x^{n} = \frac{x^{n+1}}{n+1}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yeah so i would fill fill in x^2 25 now for that step or no?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0no leave it in terms of u until you have finished integrating, then the last step will be to substitute the x^2 25 back in for u

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok so i got 2u^(3/2)+c ... is that correct?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok so then substitute in now? giving me.. 2(x^225)^(3/2) + c ..?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes you could also write it as ...2sqrt(x^225)(x^2 25) + c

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok so then my final answer is \[2x^250\sqrt{x^225}+c\]..? or just leave it \[2(x^225)\sqrt{x^225}+c\]?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i would just leave it in factored form, but both are correct
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