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I used Wolfram Alpha to see that \(\int x^{1} dx=\ln\leftx\right+C\), even though I don't understand why. But what about \(\int f(x)^{1}dx\)? Wolfram Alpha couldn't come up with a formula. So, is this a problem when trying to solve with substitution?
 7 months ago
 7 months ago
I used Wolfram Alpha to see that \(\int x^{1} dx=\ln\leftx\right+C\), even though I don't understand why. But what about \(\int f(x)^{1}dx\)? Wolfram Alpha couldn't come up with a formula. So, is this a problem when trying to solve with substitution?
 7 months ago
 7 months ago

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Dido525Best ResponseYou've already chosen the best response.2
That's basically the integral of 1/f(x) . There are many possibilities depending on what f(x) is.
 7 months ago

Dido525Best ResponseYou've already chosen the best response.2
you may have to use techniques other than substitution possibly.
 7 months ago

Dido525Best ResponseYou've already chosen the best response.2
For instance if f(x) is 1+x^2 than we have the integral of 1/(1+x^2) which is arctan(x) + c
 7 months ago

theEricBest ResponseYou've already chosen the best response.0
Okay! So, if the function is know, then we just try to integrate it. Thank you!
 7 months ago

theEricBest ResponseYou've already chosen the best response.0
I'm going to ask about the specific problem in another post. This one is done, thanks! :)
 7 months ago
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