What is the Maximum Area of a Quadrilateral with sides of length a,b,c,d (in sequence).

How find this integral $I=\int_{0}^{\frac{\pi}{2}}(\ln{(1+\tan^4{x})})^2\frac{2\cos^2{x}}{2-(\sin{(2x)})^2}dx$

Calculate control points of cubic bezier curve approximating a part of a circle

An analogue of Hensel's lifting for Fibonacci numbers

Prove that if the square of a number $m$ is a multiple of 3, then the number $m$ is also a multiple of 3.

How to finish this proof about compact implies bounded

From the series $\sum_{n=1}^{+\infty}\left(H_n-\ln n-\gamma-\frac1{2n}\right)$ to $\zeta(\frac12+it)$.

What is the difference between $E[X\mid Y]$ vs $E[X\mid Y=y]$ and some of the properties of $E[X \mid Y]$?

maximum area of a rectangle inscribed in a semi - circle with radius r.

Prove this polylogarithmic integral has the stated closed form value

Fibonacci number that ends with 2014 zeros?

Prove $\sum_{k\mid n}{\mu(k)d(k)}=(-1)^{\omega{(n)}}$

Inequality question

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