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theEric
 one year 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?
theEric
 one year 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?

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Dido525
 one year ago
Best ResponseYou've already chosen the best response.2That's basically the integral of 1/f(x) . There are many possibilities depending on what f(x) is.

Dido525
 one year ago
Best ResponseYou've already chosen the best response.2you may have to use techniques other than substitution possibly.

Dido525
 one year ago
Best ResponseYou've already chosen the best response.2For instance if f(x) is 1+x^2 than we have the integral of 1/(1+x^2) which is arctan(x) + c

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

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