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Integral of a rational function with varying exponents

score 52 · Answer 1 · 2026-05-15 07:07:13

52

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Integral of a rational function with varying exponents

Published on 15 May 2026 - 7:07

score 101 · Answer 2 · 2026-04-10 16:07:29

101

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Prove that sum of velocity and squares of position is a constant using the function given

Published on 10 Apr 2026 - 16:07

score 182 · Answer 3 · 2026-04-11 16:08:45

182

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Approximation of pi : Show the inequality without a calculator .

Published on 11 Apr 2026 - 16:08

score 46 · Answer 4 · 2026-04-13 02:38:42

46

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What rationale am I missing with this simple boundary value problem?

Published on 13 Apr 2026 - 2:38

score 51 · Answer 5 · 2026-04-12 18:41:01

51

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Am I allowed to define $e$ through algebraic means using this limit?

Published on 12 Apr 2026 - 18:41

score 41 · Answer 6 · 2026-04-08 19:18:02

41

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Need Help with an Integral Formula for Alternating Sum of Reciprocals of Logarithms

Published on 08 Apr 2026 - 19:18

score 106 · Answer 7 · 2026-04-12 09:56:54

106

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Proportionality constant

Published on 12 Apr 2026 - 9:56

score 71 · Answer 8 · 2026-04-15 07:16:27

How to show $2+\left(\frac{1}{2}\left(\sqrt{\frac{e^{e^{-1}}}{e^{-e^{-1}}}}+\sqrt{\frac{e^{-e^{-1}}}{e^{e^{-1}}}}\right)\right)^{2}<\pi$?

score 24 · Answer 9 · 2026-05-14 16:03:22

24

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Correct timing of denoting an arbitrary constant of indefinite integral

Published on 14 May 2026 - 16:03

score 52 · Answer 10 · 2026-04-15 00:32:42

52

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($C^1$ Function)False or true? (justify) a) Let $f: X \to \mathbb R$. If $f'(x) = 0, \forall x \in X$, then $f'$ is constant...

Published on 15 Apr 2026 - 0:32

score 250 · Answer 11 · 2026-04-16 09:38:56

250

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Show the inequality $\frac{\sqrt{\pi}}{2}<\left(\pi-e\right)!$

Published on 16 Apr 2026 - 9:38

score 109 · Answer 12 · 2026-04-15 00:21:13

109

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how to prove this identity $s = 2 \int_{- \pi}^{\pi} | \frac{\sin (t) - i}{(\sin (t) + i)^2} | dt = 2 K (- 1) = 2.62206...$

Published on 15 Apr 2026 - 0:21

score 214 · Answer 13 · 2026-04-14 05:24:05

214

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Find the best constant $k$ such that the inequality is true .

Published on 14 Apr 2026 - 5:24

score 324 · Answer 14 · 2026-04-13 20:00:56

324

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Alternate forms of $ \sum\limits_{n=2}^\infty \text P(n)=\sum\limits_{p\text{ prime}}\frac1{p(p-1)} $ with the prime zeta function.

Published on 13 Apr 2026 - 20:00

score 47 · Answer 15 · 2026-04-12 00:48:29

47

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Explaining a Property of the Constant e

Published on 12 Apr 2026 - 0:48

List Question

Integral of a rational function with varying exponents

Prove that sum of velocity and squares of position is a constant using the function given

Approximation of pi : Show the inequality without a calculator .

What rationale am I missing with this simple boundary value problem?

Am I allowed to define $e$ through algebraic means using this limit?

Need Help with an Integral Formula for Alternating Sum of Reciprocals of Logarithms

Proportionality constant

How to show $2+\left(\frac{1}{2}\left(\sqrt{\frac{e^{e^{-1}}}{e^{-e^{-1}}}}+\sqrt{\frac{e^{-e^{-1}}}{e^{e^{-1}}}}\right)\right)^{2}<\pi$?

Correct timing of denoting an arbitrary constant of indefinite integral

($C^1$ Function)False or true? (justify) a) Let $f: X \to \mathbb R$. If $f'(x) = 0, \forall x \in X$, then $f'$ is constant...

Show the inequality $\frac{\sqrt{\pi}}{2}<\left(\pi-e\right)!$

how to prove this identity $s = 2 \int_{- \pi}^{\pi} | \frac{\sin (t) - i}{(\sin (t) + i)^2} | dt = 2 K (- 1) = 2.62206...$

Find the best constant $k$ such that the inequality is true .

Alternate forms of $ \sum\limits_{n=2}^\infty \text P(n)=\sum\limits_{p\text{ prime}}\frac1{p(p-1)} $ with the prime zeta function.

Explaining a Property of the Constant e

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