What Do Maxwell's Equations Describe?

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Hello everyone, I got this question as extra credit and I can't figure out the answer in one bit. If anyone knows the answer to it please tell me, you don't need to explain it if you don't want to since I will just look it up online to find out what exactly is going on, but anything will be helpful. Thanks!

Homework Statement

Homework Equations



*The question along with the proceeding equations is attached as an image. Thanks in advance.



The Attempt at a Solution

 

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I'm guessing you might want to think about electromagnetism, but the characters in your attachment are too small to read.
 
Looks to me like "Maxwell's equations" for the relationship between electric and magnetic fields.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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