shaurya gupta
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 Mar 23 awarded Popular Question Feb 17 awarded Popular Question Feb 9 revised Prove that one of the lines represented by $ax^2+2hxy+by^2=0$ will bisect the angle between the coordinate axes if $(a+b)^2=4h^2$. added 55 characters in body Feb 9 answered Prove that one of the lines represented by $ax^2+2hxy+by^2=0$ will bisect the angle between the coordinate axes if $(a+b)^2=4h^2$. Dec 20 comment How do we prove $\left(1 + \frac 1 {\sin\theta}\right)(\sin\theta-\sin^2\theta)=\cos^2\theta$? Just multiply out all the terms. You'll be left with $1-\sin^2\theta$ which is equal to the answer you seek to prove. Nov 30 awarded Popular Question Nov 29 revised There are n objects and n boxes, how many ways can we place the objects so exactly one box remains empty added 2 characters in body Nov 29 revised There are n objects and n boxes, how many ways can we place the objects so exactly one box remains empty added 425 characters in body Nov 29 comment There are n objects and n boxes, how many ways can we place the objects so exactly one box remains empty @IliaLabkovsky I misread (A) as distinguishable. Let me edit it. Nov 29 revised There are n objects and n boxes, how many ways can we place the objects so exactly one box remains empty added 425 characters in body Nov 29 answered There are n objects and n boxes, how many ways can we place the objects so exactly one box remains empty Oct 24 awarded Yearling Oct 24 accepted How to count lattice points on a line. Oct 20 awarded Popular Question Oct 15 answered Find $d^2y/dx^2$, where $\sqrt{y}+4xy=3$. Sep 20 awarded Notable Question Aug 22 accepted Integrating $\frac{1}{(x^4 -1)^2}$ Aug 22 comment Integrating $\frac{1}{(x^4 -1)^2}$ This multiplying and dividing by the derivative of $x^4$ is what my teacher termed as "forced integration". Is there a name for this technique? Aug 22 comment Integrating $\frac{1}{(x^4 -1)^2}$ @Dr.SonnhardGraubner I'm not sure if I remember correctly, but I was given a hint that it's something about "forced integration". I'll try it using decomposition. Aug 22 asked Integrating $\frac{1}{(x^4 -1)^2}$