Question

How to integrate exponential of complicated expressions

score 35 · Answer 1 · 2017-02-08 15:21:16

35

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How to integrate exponential of complicated expressions

Published on 08 Feb 2017 - 15:21

score 51 · Answer 2 · 2017-02-08 23:25:38

51

Views

Inequality problem with 4th root.

Published on 08 Feb 2017 - 23:25

score 43 · Answer 3 · 2017-02-11 12:10:18

43

Views

How to evaluate $\int_A x^2 + y^2 d\lambda^2(x, y)$ with the change-of-variables formula?

Published on 11 Feb 2017 - 12:10

score 2.4k · Answer 4 · 2017-02-12 03:44:48

2.4k

Views

Difficult integral with trigonometric substitution: $\int\frac{\sqrt{1-x}}{\sqrt x}dx$

Published on 12 Feb 2017 - 3:44

score 222 · Answer 5 · 2017-02-12 18:59:35

222

Views

How many ways to express the solution of trig-integrals such as $\int \sec x \tan x \, dx$?

Published on 12 Feb 2017 - 18:59

score 366 · Answer 6 · 2026-03-25 19:05:41

366

Views

Inequality trouble: $(a^2+ab+b^2)(b^2+bc+c^2)(c^2+ca+a^2) \geq (ab+bc+ca)^3$

Published on 25 Mar 2026 - 19:05

score 238 · Answer 7 · 2026-03-25 17:19:24

238

Views

How prove this inequality with $a+b+c+2=abc$

Published on 25 Mar 2026 - 17:19

score 155 · Answer 8 · 2017-02-15 19:25:47

155

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Find the value of $\int_0^1 \frac{\ln(1+x)}{1+x^2}dx$

Published on 15 Feb 2017 - 19:25

score 112 · Answer 9 · 2017-02-17 17:21:01

112

Views

If $x,y,z>0$, prove that $\frac{x+y+z}{3\sqrt{3}} \geq \frac{yz+zx+xy}{\sum \limits_{cyc} \sqrt{x^2+xy+y^2}}$

Published on 17 Feb 2017 - 17:21

score 252 · Answer 10 · 2017-02-18 04:45:07

252

Views

Definite integral of $\int_{0}^{\pi}{\frac{dx}{1+\sin^2x}}$ with u-substitution?

Published on 18 Feb 2017 - 4:45

score 55 · Answer 11 · 2017-02-19 21:25:04

55

Views

Sentence Complexity and Formula Substitution

Published on 19 Feb 2017 - 21:25

score 86 · Answer 12 · 2017-02-21 10:35:25

86

Views

How to take the integral $\;\int\frac{\sin^2x\,dx}{\cos^4x}$

Published on 21 Feb 2017 - 10:35

score 211 · Answer 13 · 2026-03-29 05:43:27

211

Views

Prove that $\frac{a}{\sqrt{a^2+b^2}}+\frac{b}{\sqrt{9a^2+b^2}}+\frac{2ab}{\sqrt{a^2+b^2}\times \sqrt{9a^2+b^2} }\leq \frac32.$

Published on 29 Mar 2026 - 5:43

score 861 · Answer 14 · 2017-02-23 02:18:36

861

Views

Find a reduction formula for this definite integral

Published on 23 Feb 2017 - 2:18

score 437 · Answer 15 · 2017-02-23 02:41:30

437

Views

Trigonometric-substitutions for $\int \frac{x}{\sqrt{x^2+x+1}}\,dx$

Published on 23 Feb 2017 - 2:41

List Question

How to integrate exponential of complicated expressions

Inequality problem with 4th root.

How to evaluate $\int_A x^2 + y^2 d\lambda^2(x, y)$ with the change-of-variables formula?

Difficult integral with trigonometric substitution: $\int\frac{\sqrt{1-x}}{\sqrt x}dx$

How many ways to express the solution of trig-integrals such as $\int \sec x \tan x \, dx$?

Inequality trouble: $(a^2+ab+b^2)(b^2+bc+c^2)(c^2+ca+a^2) \geq (ab+bc+ca)^3$

How prove this inequality with $a+b+c+2=abc$

Find the value of $\int_0^1 \frac{\ln(1+x)}{1+x^2}dx$

If $x,y,z>0$, prove that $\frac{x+y+z}{3\sqrt{3}} \geq \frac{yz+zx+xy}{\sum \limits_{cyc} \sqrt{x^2+xy+y^2}}$

Definite integral of $\int_{0}^{\pi}{\frac{dx}{1+\sin^2x}}$ with u-substitution?

Sentence Complexity and Formula Substitution

How to take the integral $\;\int\frac{\sin^2x\,dx}{\cos^4x}$

Prove that $\frac{a}{\sqrt{a^2+b^2}}+\frac{b}{\sqrt{9a^2+b^2}}+\frac{2ab}{\sqrt{a^2+b^2}\times \sqrt{9a^2+b^2} }\leq \frac32.$

Find a reduction formula for this definite integral

Trigonometric-substitutions for $\int \frac{x}{\sqrt{x^2+x+1}}\,dx$

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