integral dx/(1+x ^4 )^5/4 =C+f(x) if f(x)=.......................................................................................................................
Keerthana Pragasam , 7 Years ago
Grade 12
1 Answers
Shashank Singh
Last Activity: 7 Years ago
integral dx/(1+x^4)^5/4 = integral dx/x^5(1/x^4 + 1) now 1/x^4 +1 = t -4/x^5dx = dt dx/x^5= -dt/4 so now integral -dt/4t^5/4 I= t^-1/4+c = (1+ 1/x^4)^-1/4+c therefore f(x)= (1+1/x^4)^-1/4.............. [ans]
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