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• 55 To evaluate $\int_0^{+\infty} \frac{\;\mathrm dx}{\sqrt[3]{x^3+a^3}\sqrt[3]{x^3+b^3}\sqrt[3]{x^3+c^3}}$
• 32 Finding the sum- $x+x^{2}+x^{4}+x^{8}+x^{16}\cdots$
• 25 How can we prove $\pi =1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}-\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+\cdots\,$?
• 24 How to transform a set of 3D vectors into a 2D plane, from a view point of another 3D vector?
• 22 What is the result of $\infty - \infty$?
• 18 How many different numbers can be written if each used digit symbol is used at least 2 times?
• 18 What is $\sum\limits_{i=1}^n \sqrt i\ $?
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