$$\int \frac{11x-18}{x^{11} \sqrt[6]{x^{12}-2x+3}}dx$$
I am trying to solve using $$x^{12}-2x+3=t \implies (12x^{11}-2)dx=dt$$
I am facing the problems, can anyone help me?
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$\begingroup$ @ SmarthBansal..what is maximum method $\endgroup$– user543273Apr 3, 2018 at 10:18
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1 Answer
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Hint: Just take $x^{12}$ out from radical, Denominator becomes $x^{13} {\sqrt[6]{1+\cfrac{-2}{x^{11}}+\cfrac{3}{x^{12}}}}$:
$$\int \cfrac{\cfrac{11}{x^{12}} - \cfrac{18}{x^{13}}}{\sqrt[6]{1+\cfrac{-2}{x^{11}}+\cfrac{3}{x^{12}}}}$$
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$\begingroup$ good observation! Problem seems to be specifically made to be solved in this manner. $\endgroup$– King TutApr 3, 2018 at 10:32
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$\begingroup$ @Kumar Ayush..........super observation.... $\endgroup$ Apr 3, 2018 at 10:41
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