integration

∫dxxn(1+xn)3n

solve it someone... that is (1+xn) to the power 3n

7 Answers

49
Subhomoy Bakshi ·

\int \frac{dx}{x^{n}(1+x^{n})^{\frac{3}{n}}}
\Rightarrow \int \frac{dx}{(x^{n^{2}}+x^{n^{2}}.x^{n})^{\frac{3}{n}}}
\Rightarrow \int \frac{dx}{(x^{n^{2}}+x^{n^{2}+n})^{\frac{3}{n}}}

replace {(x^{n^{2}}+x^{n^{2}+n})^{\frac{3}{n}}} by t

1
Tapas Gandhi ·

wont it be xnn inside the brackets???

49
Subhomoy Bakshi ·

a(b)^{n}=(a^\frac{1}{n}b)n

1
Tapas Gandhi ·

2F1(a,b,c,x) is a Hypergeometric function???

24
eureka123 ·

@tapan..have u copy-pasted that from wolfram ????

if yes ..then i request u not to repeat that again on this site[16]........people here really work hard to crack the questions ..and it would be an insult to them and their work [2]

if no..then i take back my words [6]

1
INDRAJIT Ghosh ·

how can xn2 come inside the bracket???

(xn2 + xn2.xn)3n

=[xn2(1+xn)]3n

=x3n(1+xn)3n

but it is given xn(1+xn)3n

1
Manmay kumar Mohanty ·

YA INDRAJIT IS RITE, UR EXPLANATION SUBHO IS RONG?????

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