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mlddmlnog
 2 years ago
Best ResponseYou've already chosen the best response.0If n is a known positive integer, for what value of K is \[\int\limits_{1}^{k}x ^{n1}dx=\frac{ 1 }{ n }\] ?

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.0So let's just start from scratch, I'll bet we can figure this out. \[\large \int\limits_1^k x^{n1}dx\]Taking the integral gives us,\[\huge \frac{1}{n}x^n_1^k\] Evaluated at k and 1 gives us (I'm factoring the 1/n out first),\[\large \color{purple}{\frac{1}{n}\left(k1\right)}\] And they're asking, When does \(\color{purple}{\textbf{this}}\) equal \(\dfrac{1}{n}\)

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.0Opps i made a boo boo, one sec.

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.0\[\large \frac{1}{n}\left(k^n1^n\right)\]When does THIS equal \(\dfrac{1}{n}\)

mlddmlnog
 2 years ago
Best ResponseYou've already chosen the best response.0ahhh i get it now! Thank you. you are always so helpful!

mlddmlnog
 2 years ago
Best ResponseYou've already chosen the best response.0I will go ahead and post the next question then. :)

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.0Did you figure this one out? I'm having a brain fart on the last part here lol.
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