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[tex]\int[/tex](tan(x))pdx (from 0 to pi/2)
what i actually need to do is find the values of p so that the integral converges in its given limits
i don't see too many options here, so what i did was
t=tan(x)
dt=t'dx=dx/cos2(x)=(1+tan2(x))dx=(1+t2)dx
so now we have
[tex]\int[/tex]tp(1+t2)dt (from 0 to infinity)
and now i have no idea how to continue.
is there a better way to solve this, if not how do i continue from here?
what i actually need to do is find the values of p so that the integral converges in its given limits
i don't see too many options here, so what i did was
t=tan(x)
dt=t'dx=dx/cos2(x)=(1+tan2(x))dx=(1+t2)dx
so now we have
[tex]\int[/tex]tp(1+t2)dt (from 0 to infinity)
and now i have no idea how to continue.
is there a better way to solve this, if not how do i continue from here?