Rational Question for $a + b$ and Irrationality of $a^2 + b^2$

Calculate $\int_0^{\infty}\frac{1}{(x+1)(x-2)}dx$ using residues

Finding the Limit of a Sequence (No L'Hopital's Rule)

Proof outer measure satisfies monotonicity: $A \subseteq B \implies m^*(A) \leq m^*(B)$

Prove that $f(x)$ is irreducible iff its reciprocal polynomial $f^*(x)$ is irreducible.

Does there exist a complex function which is differentiable at one point and nowhere else continuous?

Area of Mobius strip

Evaluate $\int \frac{1-x}{(1+x)\sqrt{x+x^2+x^3}}dx$

Is $\frac{1}{11}+\frac{1}{111}+\frac{1}{1111}+\cdots$ an irrational number?

Existence of an $n\times n$ real matrix $A$ such that $A^2=-I$.

Convergence properties of $z^{z^{z^{...}}}$ and is it "chaotic"

Integration of arctan(x) is itself?

Horizontal tangent line of a parametric curve

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