Question

How to analyze convergence or divergence of the integral $\int_1^{\infty}(t^2+\ln^2t)^{-1}dt$

score 80 · Answer 1 · 2014-06-02 20:26:51

80

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How to analyze convergence or divergence of the integral $\int_1^{\infty}(t^2+\ln^2t)^{-1}dt$

Published on 02 Jun 2014 - 20:26

score 88 · Answer 2 · 2014-06-03 18:24:13

88

Views

How to prove that ${\int}\big[\frac{\log x -1}{1 + (\log x)^2}\big]^2\,dx =\frac{x} {(\log x)^2 +1}.$

Published on 03 Jun 2014 - 18:24

score 402 · Answer 3 · 2014-06-03 18:51:38

402

Views

What is the primitive of $\tan(x)\arctan(x)$?

Published on 03 Jun 2014 - 18:51

score 1.6k · Answer 4 · 2014-06-04 01:25:53

1.6k

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How to integrate $\int \frac{\cos x}{\sqrt{\sin2x}} \,dx$?

Published on 04 Jun 2014 - 1:25

score 288 · Answer 5 · 2014-06-04 07:07:18

288

Views

Integrating $\int\dfrac{\mathrm{d}x}{1+\sin x+\cos x}$

Published on 04 Jun 2014 - 7:07

score 247 · Answer 6 · 2014-06-04 08:08:15

247

Views

Calculating $\int x dx$ using trigonometric functions

Published on 04 Jun 2014 - 8:08

score 433 · Answer 7 · 2014-06-04 19:38:18

433

Views

How to find the boundaries of integration for e.g. triple integrations?

Published on 04 Jun 2014 - 19:38

score 32.9k · Answer 8 · 2014-06-04 19:40:24

32.9k

Views

How to integrate $\int \frac{1}{\sin^4x + \cos^4 x} \,dx$?

Published on 04 Jun 2014 - 19:40

score 242 · Answer 9 · 2014-06-05 06:21:19

242

Views

How to find integral $\underbrace{\int\sqrt{2+\sqrt{2+\sqrt{2+\cdots+\sqrt{2+x}}}}}_{n}dx,x>-2$

Published on 05 Jun 2014 - 6:21

score 5.2k · Answer 10 · 2014-06-05 15:29:06

5.2k

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Integrate : $\int \frac{x^2}{(x\cos x -\sin x)(x\sin x +\cos x)}dx$

Published on 05 Jun 2014 - 15:29

score 3.1k · Answer 11 · 2014-06-06 05:58:54

3.1k

Views

Differential equations with velocity of car

Published on 06 Jun 2014 - 5:58

score 92 · Answer 12 · 2014-06-06 06:22:41

92

Views

Integrate this how? $\int {\frac {y(x)' (1-y(x)^2)}{y(x)^3}} dx$

Published on 06 Jun 2014 - 6:22

score 403 · Answer 13 · 2014-06-06 06:50:20

403

Views

what is $\int{\sqrt{\frac{x}{x-c}}} dx$

Published on 06 Jun 2014 - 6:50

score 515 · Answer 14 · 2014-06-06 08:51:00

515

Views

Solving a separable differential equation

Published on 06 Jun 2014 - 8:51

score 93 · Answer 15 · 2014-06-06 13:00:09

93

Views

Computation of $\int{\sqrt{c^2+b^2t^2}\,\mathrm dt}$.

Published on 06 Jun 2014 - 13:00

List Question

How to analyze convergence or divergence of the integral $\int_1^{\infty}(t^2+\ln^2t)^{-1}dt$

How to prove that ${\int}\big[\frac{\log x -1}{1 + (\log x)^2}\big]^2\,dx =\frac{x} {(\log x)^2 +1}.$

What is the primitive of $\tan(x)\arctan(x)$?

How to integrate $\int \frac{\cos x}{\sqrt{\sin2x}} \,dx$?

Integrating $\int\dfrac{\mathrm{d}x}{1+\sin x+\cos x}$

Calculating $\int x dx$ using trigonometric functions

How to find the boundaries of integration for e.g. triple integrations?

How to integrate $\int \frac{1}{\sin^4x + \cos^4 x} \,dx$?

How to find integral $\underbrace{\int\sqrt{2+\sqrt{2+\sqrt{2+\cdots+\sqrt{2+x}}}}}_{n}dx,x>-2$

Integrate : $\int \frac{x^2}{(x\cos x -\sin x)(x\sin x +\cos x)}dx$

Differential equations with velocity of car

Integrate this how? $\int {\frac {y(x)' (1-y(x)^2)}{y(x)^3}} dx$

what is $\int{\sqrt{\frac{x}{x-c}}} dx$

Solving a separable differential equation

Computation of $\int{\sqrt{c^2+b^2t^2}\,\mathrm dt}$.

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