I'm interested in solving the following indefinite integral:
$$\int \frac{u'(x)}{\sqrt{a+b\cdot u(x)^2+c\cdot u(x)^4}}dx$$
Where $a$, $b$ and $c$ are given constants. Could it be solved explicitly?
Thanks in advance!
How can this irrational integral be solved?
0
$\begingroup$
indefinite-integrals
-
1How about $\displaystyle \int \frac{1}{\sqrt{a+b\cdot y^2+c\cdot y^4}}\,dy$ or $\displaystyle \int \frac{1}{\sqrt{z^4 - k^2}}\,dz$ ? – 2017-02-09
-
3If you are fine with elliptic integrals, sure. – 2017-02-09
-
0Maybe using a Jacobi elliptic function? I'm not very used with that... – 2017-02-10