# Questions tagged [elliptic-integrals]

Questions on elliptic integrals, integrals that involve the square root of a cubic or quartic polynomial.

516 questions
Filter by
Sorted by
Tagged with
1 vote
99 views

### Assistance with solving the integral

Can you give me an idea how to handle this integral? $\int_{0}^{2\pi} (1+\cos{x})\sqrt{3+\cos{x}}\,dx$
37 views

• 667
37 views

• 216k
32 views

### Question about addition of points on elliptic curves in relation to elliptic integrals

I'm working on a long form piece on the development of elliptic curve cryptography, basically tracing the use of a point at infinity back to the discovery of the rules for linear perspective in the ...
• 477
69 views

67 views

### Connection between elliptic integrals and theta functions

I have read about connections between elliptic integrals and their connections to the Jacobi theta functions, like $\theta_3^2(q) = \frac{2}{\pi}K(k)$, where $q=e^{-\pi\frac{K’(k)}{K(k)}}$, but how ...
1 vote
90 views

### Integrating the square root of a trigonometric polynomial [duplicate]

I am trying to find a solution to the following integral. $$\int \sqrt {17+8\cos(3t)+9\cos^2(3t)} dt$$ I have run into exactly the same problem as this previous unanswered question. This integral ...
• 185