- #1
juantheron
- 243
- 1
$\displaystyle \int \frac{1}{\sqrt{\sin 2x}}dx$
MHB Indefinite Integral: $\int \frac{1}{\sqrt{\sin 2x}}dx$
- Thread starter juantheron
- Start date
Click For Summary
The integral $\int \frac{1}{\sqrt{\sin 2x}}dx$ is identified as not being elementary. It is classified as an elliptic integral of the first kind. The discussion emphasizes the complexity of this integral and the challenges in finding a closed-form solution. Participants express that standard techniques do not apply, necessitating the use of elliptic integral functions for evaluation. Understanding this integral requires knowledge of advanced calculus and elliptic functions.
Hello!
I tried to calculate projections of curl using rotation of coordinate system but I encountered with following problem.
Given:
##rot_xA=\frac{\partial A_z}{\partial y}-\frac{\partial A_y}{\partial z}=0##
##rot_yA=\frac{\partial A_x}{\partial z}-\frac{\partial A_z}{\partial x}=1##
##rot_zA=\frac{\partial A_y}{\partial x}-\frac{\partial A_x}{\partial y}=0##
I rotated ##yz##-plane of this coordinate system by an angle ##45## degrees about ##x##-axis and used rotation matrix to...
Similar threads
- · Replies 1 ·
- · Replies 4 ·
- · Replies 6 ·
- · Replies 2 ·
- · Replies 3 ·
- · Replies 6 ·
- · Replies 2 ·
- · Replies 10 ·