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s-0-x-1-3t-2-p-2-dt-take-p-1-for-a-special-case-




Question Number 55702 by ajfour last updated on 02/Mar/19
s=∫_0 ^( x) (√(1+(3t^2 +p)^2 ))dt  = ?      take p=1  for a special case.
s=0x1+(3t2+p)2dt=?takep=1foraspecialcase.
Commented by rahul 19 last updated on 03/Mar/19
I think for p=1 you can solve by using  Newton−Leibneitz and then integrate.  (Although little lengthy)!
Ithinkforp=1youcansolvebyusingNewtonLeibneitzandthenintegrate.(Althoughlittlelengthy)!
Commented by mr W last updated on 03/Mar/19
is this not an ellipic integral which can  not be solved in elementary functions?
isthisnotanellipicintegralwhichcannotbesolvedinelementaryfunctions?
Commented by mr W last updated on 03/Mar/19
no! we can′t! it is not to find a value,  but to find a function s(x).
no!wecant!itisnottofindavalue,buttofindafunctions(x).
Commented by maxmathsup by imad last updated on 03/Mar/19
the rmark of sir mrw is true because s is a function of x not a constant value...
thermarkofsirmrwistruebecausesisafunctionofxnotaconstantvalue
Commented by ajfour last updated on 03/Mar/19
thanks everyone for checking  such is the case.
thankseveryoneforcheckingsuchisthecase.

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