Question

How do I establish these polynomial limits

score 63 · Answer 1 · 2026-04-08 16:43:47

63

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How do I establish these polynomial limits

Published on 08 Apr 2026 - 16:43

score 95 · Answer 2 · 2026-04-14 10:27:54

95

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How to determine whether this improper integral is convergent or not?

Published on 14 Apr 2026 - 10:27

score 142 · Answer 3 · 2026-04-15 05:49:45

142

Views

How to compute $\int\limits_{1}^{\infty}{(\sqrt[x]{x+1}-\sqrt[x]{x-1})}\,dx$?

Published on 15 Apr 2026 - 5:49

score 29 · Answer 4 · 2026-04-13 17:02:43

29

Views

Is the Quotient test from shaums advanced calculus page 311-312 correct?

Published on 13 Apr 2026 - 17:02

score 142 · Answer 5 · 2026-04-12 03:35:07

142

Views

Choice of contour for Residue theory

Published on 12 Apr 2026 - 3:35

score 31 · Answer 6 · 2026-04-11 00:05:16

31

Views

How to show a improper integral is convergent by using Taylor expansion?

Published on 11 Apr 2026 - 0:05

score 215 · Answer 7 · 2026-04-10 00:10:10

215

Views

Asymptotic expansion of an improper integral

Published on 10 Apr 2026 - 0:10

score 57 · Answer 8 · 2026-04-16 12:36:37

57

Views

Determine all values of $a\geq0$ such that the improper integral is convergent.

Published on 16 Apr 2026 - 12:36

score 87 · Answer 9 · 2026-04-16 04:47:15

87

Views

Is the improper integral $\int^1_0f(x)\,dx$ convergent if $\lim\limits_{x\rightarrow 0}f(x)=L$?

Published on 16 Apr 2026 - 4:47

score 161 · Answer 10 · 2026-04-15 09:58:55

161

Views

Am I using the condition "$f:A\to\mathbb{R}$ is bounded in some open set around each point of $A$" correctly (Calculus on Manifolds by Michael Spivak)

Published on 15 Apr 2026 - 9:58

score 77 · Answer 11 · 2026-04-13 12:15:59

77

Views

Finding values where an improper integral converges

Published on 13 Apr 2026 - 12:15

score 133 · Answer 12 · 2026-04-11 23:58:14

133

Views

How to use Glassers Master Theorem for this one

Published on 11 Apr 2026 - 23:58

score 153 · Answer 13 · 2026-03-27 12:30:16

153

Views

$\displaystyle\int_{0}^{\frac{\pi}{2}}\ln(1+\alpha^N\tan(x)^N)\mathrm{d}x\quad$ where $N\in\mathbb{N}$

Published on 27 Mar 2026 - 12:30

score 107 · Answer 14 · 2026-03-25 05:10:03

107

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Evaluate 2D trigonometric integration of $\frac{1}{4\pi^2}\int_0^{2\pi}\int_0^{2\pi}\frac{\cos(x)^3}{\cos(x)-\cos(y)}dydx$

Published on 25 Mar 2026 - 5:10

score 112 · Answer 15 · 2026-04-14 14:39:52

112

Views

Is $ \int_0 ^1 \frac{dx}{\sqrt{x}}$ an improper integral, even though substituting $u=\sqrt{x}$ turns it into the proper $\frac12\int_0^1du$?

Published on 14 Apr 2026 - 14:39

List Question

How do I establish these polynomial limits

How to determine whether this improper integral is convergent or not?

How to compute $\int\limits_{1}^{\infty}{(\sqrt[x]{x+1}-\sqrt[x]{x-1})}\,dx$?

Is the Quotient test from shaums advanced calculus page 311-312 correct?

Choice of contour for Residue theory

How to show a improper integral is convergent by using Taylor expansion?

Asymptotic expansion of an improper integral

Determine all values of $a\geq0$ such that the improper integral is convergent.

Is the improper integral $\int^1_0f(x)\,dx$ convergent if $\lim\limits_{x\rightarrow 0}f(x)=L$?

Am I using the condition "$f:A\to\mathbb{R}$ is bounded in some open set around each point of $A$" correctly (Calculus on Manifolds by Michael Spivak)

Finding values where an improper integral converges

How to use Glassers Master Theorem for this one

$\displaystyle\int_{0}^{\frac{\pi}{2}}\ln(1+\alpha^N\tan(x)^N)\mathrm{d}x\quad$ where $N\in\mathbb{N}$

Evaluate 2D trigonometric integration of $\frac{1}{4\pi^2}\int_0^{2\pi}\int_0^{2\pi}\frac{\cos(x)^3}{\cos(x)-\cos(y)}dydx$

Is $ \int_0 ^1 \frac{dx}{\sqrt{x}}$ an improper integral, even though substituting $u=\sqrt{x}$ turns it into the proper $\frac12\int_0^1du$?

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