Question

Evaluating integrals such as $\int x^5 \sqrt{x^3-2}dx$, making the radical "disapear" from the integrand

score 82 · Answer 1 · 2017-03-06 05:42:10

82

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Evaluating integrals such as $\int x^5 \sqrt{x^3-2}dx$, making the radical "disapear" from the integrand

Published on 06 Mar 2017 - 5:42

score 128 · Answer 2 · 2017-03-06 07:58:53

128

Views

Intergrals: how to determine what part of the integrand to substitute $u$ into?

Published on 06 Mar 2017 - 7:58

score 44 · Answer 3 · 2017-03-06 11:09:22

44

Views

Integration by substitution, but I cannot see how

Published on 06 Mar 2017 - 11:09

score 89 · Answer 4 · 2017-03-07 16:46:53

89

Views

Confused about substitution in double integral

Published on 07 Mar 2017 - 16:46

score 388 · Answer 5 · 2017-03-08 04:40:07

388

Views

Integration $1/e^{(2-3x)} dx$

Published on 08 Mar 2017 - 4:40

score 221 · Answer 6 · 2026-03-25 20:39:55

221

Views

Square root inequality cyclic

Published on 25 Mar 2026 - 20:39

score 167 · Answer 7 · 2026-03-29 09:11:38

167

Views

If $x,y>0$ and $x^2+y^3\ge x^3+y^4$, prove that $x^3+y^3 \le 2$.

Published on 29 Mar 2026 - 9:11

score 80 · Answer 8 · 2026-03-25 20:36:10

80

Views

Treatment of Constant of Integration for Integration by Parts Question also Requiring Substitution

Published on 25 Mar 2026 - 20:36

score 330 · Answer 9 · 2026-03-26 01:14:34

330

Views

If $abc=1$ so $\sum\limits_{cyc}\frac{7-6a}{2+a^2}\geq1$

Published on 26 Mar 2026 - 1:14

score 2.2k · Answer 10 · 2026-03-25 04:36:10

2.2k

Views

Easy and reliable method for solving four nonlinear equations

Published on 25 Mar 2026 - 4:36

score 743 · Answer 11 · 2017-03-15 16:37:18

743

Views

Integration by substitution in reverse

Published on 15 Mar 2017 - 16:37

score 112 · Answer 12 · 2026-03-25 14:36:38

112

Views

For what values of $k>0$ does $abc=1 \implies \sum_{\mbox{cyc}}\left(\frac1{a+k}-\frac{a}{a^2+k}\right) \geq 0$?

Published on 25 Mar 2026 - 14:36

score 363 · Answer 13 · 2017-03-16 12:00:19

363

Views

How to select the correct integration method?

Published on 16 Mar 2017 - 12:00

score 88 · Answer 14 · 2017-03-17 05:34:20

88

Views

Find $k$ such that $\frac{1}{(1+x)^k}+\frac{1}{(1+y)^k}+\frac{1}{(1+z)^k}\geq\frac{3}{2^k}$ for $xyz=1$.

Published on 17 Mar 2017 - 5:34

score 35 · Answer 15 · 2026-03-27 13:24:30

35

Views

Using the simmetry of the function $t \rightarrow 1/t $ to change limits of an integral.

Published on 27 Mar 2026 - 13:24

List Question

Evaluating integrals such as $\int x^5 \sqrt{x^3-2}dx$, making the radical "disapear" from the integrand

Intergrals: how to determine what part of the integrand to substitute $u$ into?

Integration by substitution, but I cannot see how

Confused about substitution in double integral

Integration $1/e^{(2-3x)} dx$

Square root inequality cyclic

If $x,y>0$ and $x^2+y^3\ge x^3+y^4$, prove that $x^3+y^3 \le 2$.

Treatment of Constant of Integration for Integration by Parts Question also Requiring Substitution

If $abc=1$ so $\sum\limits_{cyc}\frac{7-6a}{2+a^2}\geq1$

Easy and reliable method for solving four nonlinear equations

Integration by substitution in reverse

For what values of $k>0$ does $abc=1 \implies \sum_{\mbox{cyc}}\left(\frac1{a+k}-\frac{a}{a^2+k}\right) \geq 0$?

How to select the correct integration method?

Find $k$ such that $\frac{1}{(1+x)^k}+\frac{1}{(1+y)^k}+\frac{1}{(1+z)^k}\geq\frac{3}{2^k}$ for $xyz=1$.

Using the simmetry of the function $t \rightarrow 1/t $ to change limits of an integral.

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