Question

How to go from $\sin(\theta) \cdot \frac{\text{d}V}{\text{d}\theta}=A$ to $V=A\cdot \ln(\tan\frac{\theta}{2}) +B$ by integration?

score 36 · Answer 1 · 2020-10-15 15:40:41

36

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How to go from $\sin(\theta) \cdot \frac{\text{d}V}{\text{d}\theta}=A$ to $V=A\cdot \ln(\tan\frac{\theta}{2}) +B$ by integration?

Published on 15 Oct 2020 - 15:40

score 123 · Answer 2 · 2020-10-23 14:12:16

123

Views

Generalized Hypergeometric reduction formula

Published on 23 Oct 2020 - 14:12

score 245 · Answer 3 · 2020-11-03 18:13:29

245

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Evaluating the integral of $(\csc(x))^5$ with the reduction formula of $(\sin(x))^n$

Published on 03 Nov 2020 - 18:13

score 748 · Answer 4 · 2020-11-04 06:41:31

748

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General formula for $\int_a^b(x-a)^m(x-b)^ndx$

Published on 04 Nov 2020 - 6:41

score 69 · Answer 5 · 2020-11-14 16:30:04

69

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Applying reduction formula to integrals

Published on 14 Nov 2020 - 16:30

score 68 · Answer 6 · 2020-12-12 18:30:11

68

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Finding a recurrence for $\int(c+\operatorname{sn}u)^{-n}\,du$

Published on 12 Dec 2020 - 18:30

score 127 · Answer 7 · 2020-12-16 08:08:57

127

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How can I find the reduction formula for $I_n=\int^1_0{x^6 (1+x^3)^{n}}dx$

Published on 16 Dec 2020 - 8:08

score 291 · Answer 8 · 2020-12-17 20:23:25

291

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How can I prove this reduction formula for $\int^1_0{x(1-2x^4)^n}dx$

Published on 17 Dec 2020 - 20:23

score 924 · Answer 9 · 2021-03-09 05:57:02

924

Views

Reduction formula for $\int_0^1 x^m(1-x)^{n-1}\,\mathrm{d}x$?

Published on 09 Mar 2021 - 5:57

score 640 · Answer 10 · 2021-03-16 05:46:50

640

Views

Reduction formula for $\int \frac { x ^ n } { \sqrt { 1 - x ^ 2 } } \ \mathrm d x $

Published on 16 Mar 2021 - 5:46

score 102 · Answer 11 · 2021-03-21 09:10:09

102

Views

Verification of an integral reduction for $I_n=\int_{0}^{2}(2x-x^2)^n\,dx$

Published on 21 Mar 2021 - 9:10

score 112 · Answer 12 · 2021-03-30 19:00:02

112

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$I_n=\frac{1}{\pi}-\frac{n(n-1)}{\pi^2}I_{n-2}$

Published on 30 Mar 2021 - 19:00

score 137 · Answer 13 · 2021-04-07 13:49:03

137

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How to find reduction formula for $I_n=\int\frac{1}{x^n \sqrt{x^2-1}}dx$

Published on 07 Apr 2021 - 13:49

score 115 · Answer 14 · 2021-04-09 14:02:47

115

Views

Derive reduction formula for $\int \ln^n(x+\sqrt{x^2+1}) \, dx $

Published on 09 Apr 2021 - 14:02

score 111 · Answer 15 · 2021-04-10 14:56:56

111

Views

How to find reduction formula for $I_n=\int\frac{(px+q)^n}{\sqrt{ax+b}}dx$

Published on 10 Apr 2021 - 14:56

List Question

How to go from $\sin(\theta) \cdot \frac{\text{d}V}{\text{d}\theta}=A$ to $V=A\cdot \ln(\tan\frac{\theta}{2}) +B$ by integration?

Generalized Hypergeometric reduction formula

Evaluating the integral of $(\csc(x))^5$ with the reduction formula of $(\sin(x))^n$

General formula for $\int_a^b(x-a)^m(x-b)^ndx$

Applying reduction formula to integrals

Finding a recurrence for $\int(c+\operatorname{sn}u)^{-n}\,du$

How can I find the reduction formula for $I_n=\int^1_0{x^6 (1+x^3)^{n}}dx$

How can I prove this reduction formula for $\int^1_0{x(1-2x^4)^n}dx$

Reduction formula for $\int_0^1 x^m(1-x)^{n-1}\,\mathrm{d}x$?

Reduction formula for $\int \frac { x ^ n } { \sqrt { 1 - x ^ 2 } } \ \mathrm d x $

Verification of an integral reduction for $I_n=\int_{0}^{2}(2x-x^2)^n\,dx$

$I_n=\frac{1}{\pi}-\frac{n(n-1)}{\pi^2}I_{n-2}$

How to find reduction formula for $I_n=\int\frac{1}{x^n \sqrt{x^2-1}}dx$

Derive reduction formula for $\int \ln^n(x+\sqrt{x^2+1}) \, dx $

How to find reduction formula for $I_n=\int\frac{(px+q)^n}{\sqrt{ax+b}}dx$

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