Question

If $P_r$ the coefficient of $x^r$ in the expansion of $(1+x)^2 \left(1+\frac{x}{2}\right)^2 \left(1+\frac{x}{2^2}\right)^2 \cdots$

score 81 · Answer 1 · 2026-03-25 04:44:20

81

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If $P_r$ the coefficient of $x^r$ in the expansion of $(1+x)^2 \left(1+\frac{x}{2}\right)^2 \left(1+\frac{x}{2^2}\right)^2 \cdots$

Published on 25 Mar 2026 - 4:44

score 741 · Answer 2 · 2026-04-13 06:13:54

741

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the property of two matrices to be commutative is not transitive

Published on 13 Apr 2026 - 6:13

score 217 · Answer 3 · 2026-04-19 15:05:29

217

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Evaluate $\int_{0}^1\ln(\ln(\frac{1}{x})) dx$

Published on 19 Apr 2026 - 15:05

score 88 · Answer 4 · 2026-04-20 21:48:06

88

Views

Convert $\frac{2x^3+4}{x^2-1}$ into partial fractions.

Published on 20 Apr 2026 - 21:48

score 57 · Answer 5 · 2026-04-13 20:24:09

57

Views

Given an example of a function in real number

Published on 13 Apr 2026 - 20:24

score 271 · Answer 6 · 2026-04-22 17:40:21

271

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Evaluate $\int_0^\infty\frac{\sin(\varphi_1x)}x\frac{\sin\varphi_2x}x\cdots\frac{\sin\varphi_nx}x\frac{\sin(ax)}x\cos(a_1x)\cdots\cos(a_mx) \, dx$

Published on 22 Apr 2026 - 17:40

score 1k · Answer 7 · 2026-04-11 13:09:43

1k

Views

How to take the derivative of a power.

Published on 11 Apr 2026 - 13:09

score 132 · Answer 8 · 2026-04-15 11:02:30

132

Views

Find minimum value of $(x-a_1)^2+(x-a_2)^2+...+(x-a_n)^2$

Published on 15 Apr 2026 - 11:02

score 38 · Answer 9 · 2026-04-15 08:02:36

38

Views

Hessian of the following function

Published on 15 Apr 2026 - 8:02

score 143 · Answer 10 · 2026-04-06 05:01:09

143

Views

Types of trigonometric integrals

Published on 06 Apr 2026 - 5:01

score 1.9k · Answer 11 · 2026-04-12 03:08:22

1.9k

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What can we say about the function if its derivative is Strictly increasing.

Published on 12 Apr 2026 - 3:08

score 79 · Answer 12 · 2026-04-14 05:46:11

79

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Convergence of integral to infinity

Published on 14 Apr 2026 - 5:46

score 127 · Answer 13 · 2026-04-23 08:11:15

127

Views

What are all the indeterminate forms and what are some well known examples of showing their indeterminacy?

Published on 23 Apr 2026 - 8:11

score 51 · Answer 14 · 2026-04-15 08:39:54

51

Views

Is there an easier way to prove this differentiation?

Published on 15 Apr 2026 - 8:39

score 181 · Answer 15 · 2026-04-07 02:58:12

181

Views

Is $0\bar{.9}$ in $[0,1)$?

Published on 07 Apr 2026 - 2:58

List Question

If $P_r$ the coefficient of $x^r$ in the expansion of $(1+x)^2 \left(1+\frac{x}{2}\right)^2 \left(1+\frac{x}{2^2}\right)^2 \cdots$

the property of two matrices to be commutative is not transitive

Evaluate $\int_{0}^1\ln(\ln(\frac{1}{x})) dx$

Convert $\frac{2x^3+4}{x^2-1}$ into partial fractions.

Given an example of a function in real number

Evaluate $\int_0^\infty\frac{\sin(\varphi_1x)}x\frac{\sin\varphi_2x}x\cdots\frac{\sin\varphi_nx}x\frac{\sin(ax)}x\cos(a_1x)\cdots\cos(a_mx) \, dx$

How to take the derivative of a power.

Find minimum value of $(x-a_1)^2+(x-a_2)^2+...+(x-a_n)^2$

Hessian of the following function

Types of trigonometric integrals

What can we say about the function if its derivative is Strictly increasing.

Convergence of integral to infinity

What are all the indeterminate forms and what are some well known examples of showing their indeterminacy?

Is there an easier way to prove this differentiation?

Is $0\bar{.9}$ in $[0,1)$?

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