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Mathematics
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jacky
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13
Evaluate $\int^{2}_{0}\frac{\tan^{-1}(x)}{1+4x}\mathrm dx$
Mar 23, 2019
12
Compute $\lim\limits_{n\to \infty} \left(n^3 \int_{n} ^{2n}\frac{x dx} {1+x^5}\right) $
Jun 10, 2019
10
Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
Feb 2, 2019
10
Prove that $a^6-a^5+a^4-a^3+1>0$
Oct 10, 2023
9
Find $\int^{\pi/2}_0 \frac{\sin^{n-2}(x)}{(1+\cos x)^n}\mathrm dx$
Feb 10, 2019
9
maximum value of expression $(x-1)(y-1)+(1-\sqrt{1-x^2})(1-\sqrt{1-y^2})$
Apr 30, 2023
9
Evaluation of $\sum^{19}_{k=1}\frac{(-1)^{k-1}k}{\binom{20}{k}}$
Apr 28, 2023
8
how to find the maxima of $\sin^3x+\cos^3x$ without using derivative
Jan 27, 2020
8
Find the value of $E(\frac{1}{2018})+E(\frac{2}{2018})+\dots+E(\frac{2017}{2018})$
Jan 7, 2020
8
Find $\lim\limits_{n\to\infty}\sum\limits_{k=1}^n \frac{2k+1}{k^2(k+1)^2}$
Apr 8, 2018