0
votes
1answer
92 views

Is it possible to get an easy answer for $\int {\frac {p(x) (q(x)^{1/2})} {r(x) (s(x)^{1/2})}dx}$

Given four polynomials in $x$, called $p(x), q(x), r(x), s(x)$, such that $$ \text{poly}(x) = \sum_{k=0}^N {c_k x^k},\qquad (c_k \in \mathbb{N}) \land (|c_k| \le N^2)$$ Is it possible to get an easy ...
3
votes
4answers
408 views

Are there “one way” integrals?

If we suppose that we can start with any function we like, can we work "backwards" and differentiate the function to create an integral that is hard to solve? To define the question better, let's say ...