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appleduardo
 one year ago
Best ResponseYou've already chosen the best response.0\[\ \int\limits_{}^{} \frac{ 2x }{ 2x ^{2}+1 }\]

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1Have you learned about USubstitution yet?

appleduardo
 one year ago
Best ResponseYou've already chosen the best response.0uhmm nope i dont ! :/

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1Hm well i can tell you how to do it using USubstitution but i won't make much sense.

appleduardo
 one year ago
Best ResponseYou've already chosen the best response.0i just searched what u substitution means, and i noticed that i cant make use of formulas.. in this case may i use the S du/u = ln u +c? (?)

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1well you could set 2x^2 to be your u

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1when you derive that you get a simple function you could use.

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1sorry i meant set your u to be 2x^2 + 1

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1\[ u = 2x^2 +1\] \[du = 4xdx\]

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1divide the du function across by 2:

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ du }{ 2 } = 2xdx\]

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1Then your new integral would be:

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ 1 }{ 2 }\int\limits_{?}^{?} \frac{ 1 }{ u } du\]

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1if you integrate that you get: \[\frac{ 1 }{ 2 }\left[ logu \right] + C\]

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1then replace that u with the equation it was set to:

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1\[= \frac{ 1 }{ 2 } \log(2x^2 +1)\]

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1And there you have your answer

appleduardo
 one year ago
Best ResponseYou've already chosen the best response.0oh my gosh thank you so much ! . :D but i have a question, why did u divided du by 2?

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1i divided du by 2 so it can look like something i already had. I could have done it withoug dividing by 2 but i like to simplify things.

sanchez9457
 one year ago
Best ResponseYou've already chosen the best response.1by somthign i had already i meant 2x. from the original integral.
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