Question

How do I evaluate the integral $\int_0^1\frac{x^2+x+1}{x^4+x^3+x^2+x+1}dx$.

score 209 · Answer 1 · 2018-10-22 05:20:31

209

Views

How do I evaluate the integral $\int_0^1\frac{x^2+x+1}{x^4+x^3+x^2+x+1}dx$.

Published on 22 Oct 2018 - 5:20

score 36 · Answer 2 · 2018-10-22 20:18:14

36

Views

inequality question in x and y

Published on 22 Oct 2018 - 20:18

score 58 · Answer 3 · 2026-03-26 06:17:31

58

Views

Base $b$ and efficient integer factorisation

Published on 26 Mar 2026 - 6:17

score 31 · Answer 4 · 2026-03-25 15:47:07

31

Views

Quick algorithm to find the first $n$ integers that can be expressed as a summation and as a perfect square... how does it work?

Published on 25 Mar 2026 - 15:47

score 462 · Answer 5 · 2018-10-26 03:27:16

462

Views

Proof of 'If R/I is a field then I is a maximum Ideal'

Published on 26 Oct 2018 - 3:27

score 247 · Answer 6 · 2018-10-26 07:25:44

247

Views

For any integer $p \ge 3$, the largest integer $r$ such that $(x-1)^r$ is a factor of the polynomial $2x^{p+1}-p(p+1)x^2+2(p^2-1)x-p(p-1)$

Published on 26 Oct 2018 - 7:25

score 53 · Answer 7 · 2018-10-26 18:50:57

53

Views

Write polynomial as irreducible polynomials

Published on 26 Oct 2018 - 18:50

score 2.2k · Answer 8 · 2026-03-25 16:27:49

2.2k

Views

Divisibility 1,2,3,4,5,6,7,8,9,&10

Published on 25 Mar 2026 - 16:27

score 25 · Answer 9 · 2018-10-28 09:43:10

25

Views

Maximum value of a function whose sum of roots is known

Published on 28 Oct 2018 - 9:43

score 46 · Answer 10 · 2026-03-27 03:30:01

46

Views

Factorisation of polynomials

Published on 27 Mar 2026 - 3:30

score 2.8k · Answer 11 · 2018-10-29 05:30:26

2.8k

Views

Is there a quick technique to determine if a polynomial (Degree 3 or greater) is factorable?

Published on 29 Oct 2018 - 5:30

score 59 · Answer 12 · 2026-03-27 17:04:22

59

Views

Given that $f(x) = 1 - 3/(x+2) + 3/(x+2)$ while $x ≠- 2$, show that $f(x) = (x^2 + x + 1)/(x+2)^2$

Published on 27 Mar 2026 - 17:04

score 453 · Answer 13 · 2018-10-30 14:23:32

453

Views

Different Remainders of Three Digit Numbers

Published on 30 Oct 2018 - 14:23

score 82 · Answer 14 · 2026-03-26 22:13:18

82

Views

Integer Factoring - Check if $N=a^{b}$ for some integers $a$ and $b$

Published on 26 Mar 2026 - 22:13

score 81 · Answer 15 · 2018-10-31 14:31:51

81

Views

Help Factoring A Difficult Expression

Published on 31 Oct 2018 - 14:31

List Question

How do I evaluate the integral $\int_0^1\frac{x^2+x+1}{x^4+x^3+x^2+x+1}dx$.

inequality question in x and y

Base $b$ and efficient integer factorisation

Quick algorithm to find the first $n$ integers that can be expressed as a summation and as a perfect square... how does it work?

Proof of 'If R/I is a field then I is a maximum Ideal'

For any integer $p \ge 3$, the largest integer $r$ such that $(x-1)^r$ is a factor of the polynomial $2x^{p+1}-p(p+1)x^2+2(p^2-1)x-p(p-1)$

Write polynomial as irreducible polynomials

Divisibility 1,2,3,4,5,6,7,8,9,&10

Maximum value of a function whose sum of roots is known

Factorisation of polynomials

Is there a quick technique to determine if a polynomial (Degree 3 or greater) is factorable?

Given that $f(x) = 1 - 3/(x+2) + 3/(x+2)$ while $x ≠- 2$, show that $f(x) = (x^2 + x + 1)/(x+2)^2$

Different Remainders of Three Digit Numbers

Integer Factoring - Check if $N=a^{b}$ for some integers $a$ and $b$

Help Factoring A Difficult Expression

Trending Questions

Popular # Hahtags

Popular Questions