List questions from indefinite-integrals

32

Views

Logic correct for showing that integral of sin(1/x)/x cannot be expressed in terms of elementary functions

Published on 14 Apr 2026 - 2:50

158

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What is wrong with this attempt to solve $x^x = 2$?

Published on 11 Apr 2026 - 22:28

159

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How to find $\int{\frac{\cos2x}{\sqrt{\sin^3 x}}}dx$?

Published on 14 Apr 2026 - 12:45

207

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Particular Solution of the ODE $y''-6y'+10y=e^{3x}$

Published on 14 Apr 2026 - 9:09

61

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Evaluating the Gaussian-like integrals $\int dx\, x^{-n} \exp(-(x-b)^2)$

Published on 16 Apr 2026 - 23:24

71

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Integration involving gradient of delta function

Published on 14 Apr 2026 - 13:38

78

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How to Evaluate $\int_1^4 (\frac{1}{2t}+i)^2 dt$

Published on 12 Apr 2026 - 11:27

107

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How do we calculate $\int\frac{\mathrm{d}x}{\cos(x) - 3\sin(x)}$?

Published on 14 Apr 2026 - 2:55

32

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derivative of an improper integral with variables in the limits

Published on 12 Apr 2026 - 15:41

38

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Fix a parameter $h>0$ the following integral bounded by $C>0$?

Published on 11 Apr 2026 - 20:42

104

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Integral of this weird function $ \int \frac{1}{(x^2+x+1)^2}dx $

Published on 16 Apr 2026 - 12:13

35

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Why am I getting two different solutions in this integral?

Published on 13 Apr 2026 - 22:46

35

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integral of $(x^2)^n$

Published on 14 Apr 2026 - 2:24

127

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Why can't this integral be inverse tangent?

Published on 16 Apr 2026 - 11:19

240

Views

Evaluate $\int \frac {2x}{(x^2+1)(x^2+2)^2} dx $

Published on 17 Apr 2026 - 3:47

List Question

Logic correct for showing that integral of sin(1/x)/x cannot be expressed in terms of elementary functions

What is wrong with this attempt to solve $x^x = 2$?

How to find $\int{\frac{\cos2x}{\sqrt{\sin^3 x}}}dx$?

Particular Solution of the ODE $y''-6y'+10y=e^{3x}$

Evaluating the Gaussian-like integrals $\int dx\, x^{-n} \exp(-(x-b)^2)$

Integration involving gradient of delta function

How to Evaluate $\int_1^4 (\frac{1}{2t}+i)^2 dt$

How do we calculate $\int\frac{\mathrm{d}x}{\cos(x) - 3\sin(x)}$?

derivative of an improper integral with variables in the limits

Fix a parameter $h>0$ the following integral bounded by $C>0$?

Integral of this weird function $ \int \frac{1}{(x^2+x+1)^2}dx $

Why am I getting two different solutions in this integral?

integral of $(x^2)^n$

Why can't this integral be inverse tangent?

Evaluate $\int \frac {2x}{(x^2+1)(x^2+2)^2} dx $

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