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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
revised Arclength of $\frac{\sin^2(x)}{\tan(x)}$
added 20 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
Nov
29
answered Arclength of $\frac{\sin^2(x)}{\tan(x)}$
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 $\frac{1}{(x^4 -1)^2}$
Aug
2
awarded  Great Question
Jun
30
awarded  Nice Question