Question

How do I evaluate $\int \frac{x+1}{(x^2+1) \sqrt{x^2-6x+1}} dx$?

score 806 · Answer 1 · 2026-04-16 15:34:58

806

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How do I evaluate $\int \frac{x+1}{(x^2+1) \sqrt{x^2-6x+1}} dx$?

Published on 16 Apr 2026 - 15:34

score 77 · Answer 2 · 2026-04-17 14:36:59

77

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Evaluate $\int \frac{x^2-1}{\sqrt{x^6+3x^4+x^2}}dx$

Published on 17 Apr 2026 - 14:36

score 54 · Answer 3 · 2026-04-12 16:47:55

54

Views

Indefinite integration of rational functions

Published on 12 Apr 2026 - 16:47

score 23 · Answer 4 · 2026-05-11 04:15:29

23

Views

$1/x$ simple integral with different starting conditions

Published on 11 May 2026 - 4:15

score 79 · Answer 5 · 2026-04-15 14:25:55

79

Views

Question about arc length of tan(ln(x))?

Published on 15 Apr 2026 - 14:25

score 123 · Answer 6 · 2026-04-13 14:00:37

123

Views

How to integrate $(a+bx)^m(c+dx)^n(e+fx)^p$

Published on 13 Apr 2026 - 14:00

score 674 · Answer 7 · 2026-04-14 08:00:01

674

Views

Is there a "more easier" way to integrate by parts?

Published on 14 Apr 2026 - 8:00

score 81 · Answer 8 · 2026-04-14 11:08:31

Is there a simple proof that functions of the form $f(x)^{g(x)}$ in general don't have integrals in standard functions?

score 99 · Answer 9 · 2026-04-12 20:46:04

99

Views

Study the improper integral for convergence and absolute convergence

Published on 12 Apr 2026 - 20:46

score 161 · Answer 10 · 2026-04-17 11:24:56

161

Views

Why does integrating $\int\frac{\left(x+q_{2}\right)^{s_{2}}}{\left(x+q_{1}\right)^{s_{1}}}dx$ involve hypergeometric functions?

Published on 17 Apr 2026 - 11:24

score 142 · Answer 11 · 2026-04-13 23:34:55

142

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What is the step-by-step way to do the integral of $\int \tan^4 u \sec^3 u \,du$?

Published on 13 Apr 2026 - 23:34

score 164 · Answer 12 · 2026-04-17 06:54:02

164

Views

$\int\frac{1}{x\sqrt{x^4+x^2+1}}dx$

Published on 17 Apr 2026 - 6:54

score 132 · Answer 13 · 2026-04-15 03:13:22

132

Views

Integral of $(x^3+2x+1)^{-1/2}$

Published on 15 Apr 2026 - 3:13

score 83 · Answer 14 · 2026-04-16 22:29:22

83

Views

$\lim_{b \to \infty}{\sqrt{\pi t}\left[\operatorname{erf} (\frac{x}{2 \sqrt{t}}) - \operatorname{erf} (\frac{x-b}{2 \sqrt{t}})\right]} = \text{?}$

Published on 16 Apr 2026 - 22:29

score 89 · Answer 15 · 2026-04-12 06:48:17

89

Views

Equivalence between two definitions of an antiderivative.

Published on 12 Apr 2026 - 6:48

List Question

How do I evaluate $\int \frac{x+1}{(x^2+1) \sqrt{x^2-6x+1}} dx$?

Evaluate $\int \frac{x^2-1}{\sqrt{x^6+3x^4+x^2}}dx$

Indefinite integration of rational functions

$1/x$ simple integral with different starting conditions

Question about arc length of tan(ln(x))?

How to integrate $(a+bx)^m(c+dx)^n(e+fx)^p$

Is there a "more easier" way to integrate by parts?

Is there a simple proof that functions of the form $f(x)^{g(x)}$ in general don't have integrals in standard functions?

Study the improper integral for convergence and absolute convergence

Why does integrating $\int\frac{\left(x+q_{2}\right)^{s_{2}}}{\left(x+q_{1}\right)^{s_{1}}}dx$ involve hypergeometric functions?

What is the step-by-step way to do the integral of $\int \tan^4 u \sec^3 u \,du$?

$\int\frac{1}{x\sqrt{x^4+x^2+1}}dx$

Integral of $(x^3+2x+1)^{-1/2}$

$\lim_{b \to \infty}{\sqrt{\pi t}\left[\operatorname{erf} (\frac{x}{2 \sqrt{t}}) - \operatorname{erf} (\frac{x-b}{2 \sqrt{t}})\right]} = \text{?}$

Equivalence between two definitions of an antiderivative.

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