2621) multiplying denominator and numerator with sec2x ,
I = ∫sec2x dx4tan2x +4tanx +5
now put tanx =z , sec2xdx=dz
I = ∫dz4z2+4z+5
you can finish it off from here .
2) is x an integer ?
how to solve foll integration please give detail soln ::;
1)) ∫ dx
4sin2x+4sinxcosx+5cos2x
if xε(-Π/2,Π/2)
2))x
∫ 2t dt
0 2[t]
x>0 [] is g.i.f
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3 Answers
262
71For two, @Aditya, I think he meant any general x.
Let x = n + f , n ε N
The Integration is n+f0 ∫2{t} dt, where {t} = Fractional part
I think this can be re written as n 01∫ 2t dt + 0f∫2t dt
1thnks aditya dnt knw what was i thnkng .....
i can do d rest knw .
and @ vivek i gt ur pt and the ans too thnks fr the soln