Vinay5forPrime

Member for 9 years, 10 months
Last seen more than 3 years ago

India

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To prove the limit of $\frac{x^2+2\cos x-2}{x\sin^3 x}$ at zero is $1/12$

Nov 28, 2015

How to prove $\sinh^{-1} (\tan x)=\log \tan (\frac{\pi}{4}+\frac{x}{2})$

Nov 30, 2015

Express $\frac{\sin 7\theta}{\sin \theta}$ in powers of $\sin \theta$ only

Nov 30, 2015

Solve $3x(1-x^2)y^2\frac{dy}{dx}+(2x^2-1)y^3=ax^3$

Jan 31, 2016

How to prove $\int_{0} ^{1}{\sqrt{1-x^4}dx}=\frac{1}{12}\sqrt {\frac{2}{\pi}}(\Gamma\left(\frac{1}{4}\right))^2$?

Mar 7, 2016

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In $Δ ABC,\;AB=AC$ and $\measuredangle CAB=90^o,\;M$ and $N$ are points on hypotenuse $BC$ with $BM^2+CN^2=MN^2$. Prove $\measuredangle MAN=45^o$.

Nov 26, 2015

evaluate $\lim_{x \to \infty} (1+\frac{1}{x}-5x^{-2}+3x^{-3})^{x}$

Dec 3, 2015

$\lim_{x \to \infty} \frac{\sqrt{x^2 - 4}}{2x+1}$

Dec 9, 2015

Integral $\int\frac{t^2+64}{t^2-64}dt$

Jan 26, 2016

Find the volume of the tetrahedron using triple integrals

Apr 15, 2016

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