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A set of problems for Class 11th & class 12th students willing to prepare for IITs. #Algebra #JEE #II Follow me ...

Hi Brilliant! Just like what Anastasiya Romanova conducted last year, this year I would also like to conduct an integration contest.

The aims of the Integration contest are to improve ...

\[ \large \sum_{n=2}^\infty \dfrac1{ ( \ln n)^{\ln (\ln n) } } \]

Does the series above converge or diverge?

Hint: For \(x\geq 2\), \(\ln(x) < \sqrt x\).

\[ \large \displaystyle\int_0^1 \ln\left(\sqrt{1-x} + \sqrt{1+x}\ \right)\ \mathrm{d}x= \dfrac{1}{A}\ln(B) - \dfrac{1}{C} + \dfrac{\pi}{D} \]

If ...

Get yourself Ready-Steady-Go for JEE-2016!

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