Question

Evaluate the definite integral $\int_{-1}^0(t^{\frac{1}{7}}-t^{\frac{2}{7}})dt$

score 68 · Answer 1 · 2020-03-29 14:11:08

68

Views

Evaluate the definite integral $\int_{-1}^0(t^{\frac{1}{7}}-t^{\frac{2}{7}})dt$

Published on 29 Mar 2020 - 14:11

score 36 · Answer 2 · 2026-04-02 17:34:59

36

Views

A small problem regarding compactness.

Published on 02 Apr 2026 - 17:34

score 159 · Answer 3 · 2026-04-02 17:31:25

159

Views

Theorem 28.1 in Munkres' TOPOLOGY, 2nd ed: An alternative proof the fact that every compact space is limit-point compact

Published on 02 Apr 2026 - 17:31

score 32 · Answer 4 · 2020-03-29 19:48:18

32

Views

General solution to multivariable discrete-time linear model with complex eigenvalues from Otto & Day (2007)

Published on 29 Mar 2020 - 19:48

score 40 · Answer 5 · 2026-03-27 14:02:15

40

Views

Proof question about the definition of the integral via Darboux sums

Published on 27 Mar 2026 - 14:02

score 126 · Answer 6 · 2026-03-30 03:39:12

126

Views

Functional Equation $f(xf(y) + f(x)) + f(y^2) = f(x) + y(f(x+y))$

Published on 30 Mar 2026 - 3:39

score 81 · Answer 7 · 2020-03-30 03:38:38

81

Views

Values of a and b in a power set

Published on 30 Mar 2020 - 3:38

score 632 · Answer 8 · 2026-03-30 05:32:12

632

Views

What's wrong with my proof of $\inf S = -\sup(-S)$?

Published on 30 Mar 2026 - 5:32

score 102 · Answer 9 · 2026-03-26 01:07:56

102

Views

An inequality for the sum-of-aliquot-divisors function

Published on 26 Mar 2026 - 1:07

score 57 · Answer 10 · 2026-03-26 01:08:00

57

Views

An improved inequality for the deficiency function when $\gcd(x,y)=1$, $x > 1$, and $y > 1$

Published on 26 Mar 2026 - 1:08

score 180 · Answer 11 · 2026-03-26 07:33:30

180

Views

Language, Proof and Logic $14.12$ Solution $\left(\text{I need help}\tiny\overset{\cdot~\cdot}{\frown}\right)$

Published on 26 Mar 2026 - 7:33

score 237 · Answer 12 · 2020-03-30 10:29:45

237

Views

For $n\ge 1$, define $a_n=1+\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{n}-\log n$. Prove that $\lim_{n\to\infty} a_n$ exists.

Published on 30 Mar 2020 - 10:29

score 711 · Answer 13 · 2026-04-02 17:29:28

711

Views

Every real number lies between $N$ and $N+1$.

Published on 02 Apr 2026 - 17:29

score 87 · Answer 14 · 2020-03-30 13:58:34

87

Views

Evaluate $\int_{-7}^9\frac{-4}{x}dx$

Published on 30 Mar 2020 - 13:58

score 60 · Answer 15 · 2020-03-30 14:08:18

60

Views

Evaluate the definite integral $\int_0^6 \frac{x}{\sqrt{9+2x^2}}dx$

Published on 30 Mar 2020 - 14:08

List Question

Evaluate the definite integral $\int_{-1}^0(t^{\frac{1}{7}}-t^{\frac{2}{7}})dt$

A small problem regarding compactness.

Theorem 28.1 in Munkres' TOPOLOGY, 2nd ed: An alternative proof the fact that every compact space is limit-point compact

General solution to multivariable discrete-time linear model with complex eigenvalues from Otto & Day (2007)

Proof question about the definition of the integral via Darboux sums

Functional Equation $f(xf(y) + f(x)) + f(y^2) = f(x) + y(f(x+y))$

Values of a and b in a power set

What's wrong with my proof of $\inf S = -\sup(-S)$?

An inequality for the sum-of-aliquot-divisors function

An improved inequality for the deficiency function when $\gcd(x,y)=1$, $x > 1$, and $y > 1$

Language, Proof and Logic $14.12$ Solution $\left(\text{I need help}\tiny\overset{\cdot~\cdot}{\frown}\right)$

For $n\ge 1$, define $a_n=1+\frac{1}{2}+\frac{1}{3}+\cdots+\frac{1}{n}-\log n$. Prove that $\lim_{n\to\infty} a_n$ exists.

Every real number lies between $N$ and $N+1$.

Evaluate $\int_{-7}^9\frac{-4}{x}dx$

Evaluate the definite integral $\int_0^6 \frac{x}{\sqrt{9+2x^2}}dx$

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