Skip to main content
Hrishabh Nayal's user avatar
Hrishabh Nayal's user avatar
Hrishabh Nayal's user avatar
Hrishabh Nayal
  • Member for 4 years, 3 months
  • Last seen more than a month ago
7 votes
1 answer
240 views

How to show :$\int_0^1 \left[\left(1-x^{2018}\right)^{1\over 2020}- \left(1-x^{2020}\right)^{1\over 2018} \right] dx \lt \frac {2018}{2020}$

6 votes
2 answers
666 views

Can $\int \frac{\sec x \ \mathrm{d}x}{\sqrt{\sin(x+2A)+\sin(A)}}$ be evaluated using elementary functions?

6 votes
2 answers
353 views

How to find $\int \frac {(1+x^2)(2+x^2)}{(x \cos x+\sin x)^4}dx$?

3 votes
5 answers
122 views

Better methods to approximate $2^{2\over 3}$

3 votes
6 answers
181 views

Alternate way to solve $\lim\limits_{x \to 0} (\sin x) ^x$?

3 votes
3 answers
230 views

Does $\int_0^{\pi \over 2} \lfloor \tan(x) \rfloor\, dx$ converge?

3 votes
4 answers
340 views

What is $\lim_{n\to \infty }\left(\sqrt[\leftroot{-2}\uproot{2}n+1]{(n+1)!}-\sqrt[\leftroot{-2}\uproot{2}n]{n!}\right)$?

3 votes
4 answers
193 views

Computing $\lim_{n \to \infty} \left[\left(\prod_{i=1}^{n}i!\right)^{1\over n^{2}} (n^{x})\right] $ if exists for certain $x\in\mathbb R$

2 votes
2 answers
47 views

If $f(x)=\frac{x^3}{2}+1-x\int_0^x g(t) dt$ and $g(x)=x-\int_0^1f(u) du $ then the minimum distance between $f(x)$ and $g(x)$ is?

2 votes
1 answer
93 views

How to evaluate $\int _0^1{(x^x)}^{{(x^x)}^{.^{.^.}}}dx$? [duplicate]

1 vote
1 answer
144 views

Can we integrate an inequality under specific conditions?

1 vote
2 answers
58 views

Is this $ \lim_{n\to \infty} [(n+1) f(n+1) - nf(n) ]$ reimann summable? Here, $f(n) = e^{{1 \over n} (\sum_{r=1}^{n}\ln({r\over n}))}$.

1 vote
1 answer
2k views

How to specify a line segment in space(3D)?

1 vote
1 answer
68 views

What is the shape of trajectory followed by a particle whose velocity is given by $\vec v = (u_0 + bx) \hat i - (by) \hat j$?

1 vote
1 answer
74 views

When can we multiply matrices to both sides of a equation?

0 votes
2 answers
98 views

What limits L'Hôpital's rule?

0 votes
0 answers
111 views

How many 3 dimensional lattices are possible mathematically?

0 votes
1 answer
108 views

How can we prove (or disprove) that the limit 0($\displaystyle{\lim_{x \to \infty}} x$) exists?

0 votes
5 answers
91 views

Does $\int_0^1 (1-x)\ln(x) \ dx$ converge?

0 votes
1 answer
54 views

How to show $f'(0)$ exists for $f(x) = e^{-1\over x^2} \sin\left({1\over x}\right)$ for $x\neq 0$ and $f(0)=0$?

0 votes
1 answer
29 views

Why do I get wrong result from Rolle's theorem in the given functions?

0 votes
1 answer
52 views

Is it possible to tell that one of the coin was biased if coins are changed mid experiment?