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Mathematics
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Nan

I am a student in Statistics.

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  • Member for 2 years, 8 months
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Top posts (117) All Questions Answers | Votes Newest

6 Prove there is an increasing function on closed bounded interval that is continuous only at points in $[a,b] \setminus C$ Nov 7 '17
6 Prove $\int ^{\pi/2}_0 \frac{\sin^m x}{\sin^m x+\cos^m x}dx=\frac{\pi}{4}$ Oct 11 '16
5 Is $F(z)=\frac{i}{2}\log(z+i)-\frac{i}{2}\log(z-i)$ equal to $\arctan z$? Jan 9 '18
4 Prove the solutions to the equation $z^n=1$. Dec 16 '17
4 How to compute $\sin^{-1}(\cos 2x)$ in different domains? Oct 6 '16
4 Why can we not use L'Hopitals' rule to prove $\lim_{x \to 0} \dfrac{x^2 \sin \frac{1}{x}}{\sin x}=0$? Oct 8 '16
4 Find the moment of inertia about $x$-axis of the region bounded by $y=x^2$ and $y=x$ Oct 10 '16
4 Find the volume of the ellipsoid $11x^2+9y^2+15z^2-4xy+10yz-20xz=80$ Oct 16 '16
4 The difference of two order statistics of exponential distribution Nov 29 '17
4 Prove that $\int^{\pi}_0 \ln \left(\frac{b-\cos x}{a- \cos x}\right)dx=\pi \ln (\frac{b+\sqrt{b^2-1}}{a+\sqrt{a^2-1}})$ Oct 13 '16
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