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Solve the following integration: Q. ?{(x^2+3)/(x^6 (x^2+1))} dx

Solve the following integration:
Q.
?{(x^2+3)/(x^6 (x^2+1))} dx

Grade:12

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
7 years ago
Integral{ (x2+3)/x6(x2+1)}dx
Integral {(x2+1)+2}/x6(1+x2) dx
integral dx/x6 + integraldx/x6(1+x2)
(x-5)/(-5) +integral{ sec2@/tan^6@(1+tan^2@)}d@ by putting x=tan@
-(1/5)x-5+integral cot6@ d@
Now integrate second integral by Reduction formula
integarl cotn@ d@= -cotn-1@/(n-1) -integral cotn-2@d@
Now do yourself.........
Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

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