Question

Integrate $1/(u^2 - 1)$ without partial fractions?

score 215 · Answer 1 · 2026-05-04 21:56:46

215

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Integrate $1/(u^2 - 1)$ without partial fractions?

Published on 04 May 2026 - 21:56

score 55 · Answer 2 · 2026-04-16 09:01:17

Working out how to fill a gap with the least number of items between 2 sizes and using a 2nd item if required.

score 191 · Answer 3 · 2026-05-10 19:20:41

191

Views

Prove that if the matrix $\begin{bmatrix}a & b\\b & c\end{bmatrix}$ is nonnegative definite, then it has a factorization $LL^{T}$

Published on 10 May 2026 - 19:20

score 82 · Answer 4 · 2026-05-14 07:51:30

82

Views

How to bound oscillatory integral?

Published on 14 May 2026 - 7:51

score 23 · Answer 5 · 2026-05-11 02:08:40

23

Views

Domain on Integration Based on 2 Conditions

Published on 11 May 2026 - 2:08

score 54 · Answer 6 · 2026-04-25 01:33:20

54

Views

How can I calculate $\lim_{n\rightarrow\infty} \frac{7^{\sqrt{n}}\cdot(n/2)!\cdot(n/2)!}{n!} $?

Published on 25 Apr 2026 - 1:33

score 59 · Answer 7 · 2026-04-13 13:45:00

59

Views

Why is reduction formula of $\int \cos^n (x) dx$ restricted to n>1?

Published on 13 Apr 2026 - 13:45

score 1.6k · Answer 8 · 2026-04-14 04:16:43

1.6k

Views

How to prove that a recursive sequence converges?

Published on 14 Apr 2026 - 4:16

score 154 · Answer 9 · 2026-05-04 21:57:50

154

Views

calculate $\int_0^\pi\frac {dx}{1+\sin^2x}$

Published on 04 May 2026 - 21:57

score 58 · Answer 10 · 2026-04-14 11:37:33

58

Views

How to find the points, in both polar coordinates and rectangular coordinates corresponding to the values.

Published on 14 Apr 2026 - 11:37

score 113 · Answer 11 · 2026-04-16 15:30:18

113

Views

Looking to evaluate $\int_{0}^{1}\mathrm dx\ln^2(1+\sqrt{x})\ln(1-\sqrt{x})$

Published on 16 Apr 2026 - 15:30

score 230 · Answer 12 · 2026-05-15 18:17:47

230

Views

Finding the $\max$ and $\min$ of $\left\{\frac{m+n}{m+2n}\colon n,m \in \mathbb N^*\right\}$

Published on 15 May 2026 - 18:17

score 138 · Answer 13 · 2026-04-17 10:25:20

138

Views

extract x: $((x+y)^n - x^n)^{1/n}$ expressed in the form $ba^{c}$ where all that matters is b contains x

Published on 17 Apr 2026 - 10:25

score 94 · Answer 14 · 2026-04-13 18:42:31

94

Views

mean of a continuous random variable and integration by parts

Published on 13 Apr 2026 - 18:42

score 200 · Answer 15 · 2026-04-15 13:59:56

200

Views

Use bounded integral to find local maximum. If the function $f(x)=\int_0^x-\sin t^2 \ dt$ on $-1\leq x\leq3$, then $f$ has local maximum at which $x?$

Published on 15 Apr 2026 - 13:59

List Question

Integrate $1/(u^2 - 1)$ without partial fractions?

Working out how to fill a gap with the least number of items between 2 sizes and using a 2nd item if required.

Prove that if the matrix $\begin{bmatrix}a & b\\b & c\end{bmatrix}$ is nonnegative definite, then it has a factorization $LL^{T}$

How to bound oscillatory integral?

Domain on Integration Based on 2 Conditions

How can I calculate $\lim_{n\rightarrow\infty} \frac{7^{\sqrt{n}}\cdot(n/2)!\cdot(n/2)!}{n!} $?

Why is reduction formula of $\int \cos^n (x) dx$ restricted to n>1?

How to prove that a recursive sequence converges?

calculate $\int_0^\pi\frac {dx}{1+\sin^2x}$

How to find the points, in both polar coordinates and rectangular coordinates corresponding to the values.

Looking to evaluate $\int_{0}^{1}\mathrm dx\ln^2(1+\sqrt{x})\ln(1-\sqrt{x})$

Finding the $\max$ and $\min$ of $\left\{\frac{m+n}{m+2n}\colon n,m \in \mathbb N^*\right\}$

extract x: $((x+y)^n - x^n)^{1/n}$ expressed in the form $ba^{c}$ where all that matters is b contains x

mean of a continuous random variable and integration by parts

Use bounded integral to find local maximum. If the function $f(x)=\int_0^x-\sin t^2 \ dt$ on $-1\leq x\leq3$, then $f$ has local maximum at which $x?$

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