Hongyi Zhao wrote:
> Hi all,
>
> I've the following equations:
>
>
> \[\sin \left( \theta \right) = a{x^{^2}} + bx + c\]
>
> and
>
> \[y = \int_0^x {\tan } \left( \theta \right)dx\]
>
> I want to obtain the expression of y as the function of x. How should
> I write the code within maxima?
>
> Thanks in advance.
>
>
Before you post this a third time, in a hard-to-read form, let's see..
theta=arcsin(a*x^2+b*x+c) and
y=integrate(tan(theta),x,0,x).
so you need to compute
integrate((a*x^2+b*x+c)/sqrt(1-(a*x^2+b*x+c)^2),x)
which is expressible in terms of elliptic functions, but not by the
current version of Maxima.