Advanced Search

Question: integral of sqrt(1+sin(x)^2) in Maple

Question:integral of sqrt(1+sin(x)^2) in Maple

nm 11773 Maple 2025
int elliptic-integral
3 hours ago
1

Is it possible to obtain integral of sqrt(1+sin(x)^2) in Maple as known result of elliptic integral of the second kind  E(x,-1) ?

Maple 2025 gives

integrand:=sqrt(1+sin(x)^2);
anti:=int(integrand,x);
anti:=simplify(anti);

Not able to differentiate back:

diff(anti,x);
simplify(%)

Google says:

And the above is also what Mathematica gives

Is it possible to obtain E(x,-1) also in Maple for this integral?

Maple 2025.2

 
Please Wait...