AryanSonwatikar

 10 Evaluating $\int\frac {dx}{1+x^2}$ 7 Name of the rule allowing the exchanging $\sin$ and $\cos$ in integrals with limits $0$ and $\pi/2$? 6 Simplify the radical $\sqrt{x-\sqrt{x+\sqrt{x-…}}}$ 6 Find the minimum of $x^3+\frac{1}{x^2}$ for $x>0$ 6 Evaluate $\displaystyle\int\limits_{-2}^{2}\frac{x^{4}}{1+6^{x}}dx$

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 24 Is it simply a coincidence that if you differentiate the formula for the volume of sphere you get the formula for the surface area of sphere? [duplicate] 15 Show that $f(x)=\sqrt 2$ has no solutions $f(x)=\sin x\cos x(2+\sin x)$ and $x\in [0,\frac{\pi}{2}]$. 5 Rational points of an circle centred at $(\pi,2)$ 4 Decoding $\int_{\frac 12}^{2} \frac{\ln t}{1+t^n}dt$ 4 Computing $\int_0^1 \frac{\arcsin \sqrt x}{x^2-x+1} dx$ [duplicate]

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 32 calculus × 34 12 inequality × 5 25 integration × 15 10 trigonometric-integrals 17 algebra-precalculus × 13 6 logarithms × 4 16 trigonometry × 10 6 a.m.-g.m.-inequality × 2 14 definite-integrals × 12 6 maxima-minima

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