List questions from indefinite-integrals

Published on 06 Feb 2024 - 15:13

69

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Does every function that is continuous in $\mathbb{R}$ admit a primitive?

Published on 11 Apr 2026 - 11:48

94

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What does the $dx$ mean in the notation for the indefinite integral?

Published on 07 Feb 2024 - 22:06

321

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u-substitution of indefinite integrals without algebraically manipulating differentials

Published on 08 Feb 2024 - 10:15

25

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How $\frac{1}{2a} \log {|\frac{x+a}{x-a}|} + C = \frac{1}{2a} \log {|\frac{a+x}{a-x}|} + C$

Published on 09 Feb 2024 - 11:23

125

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Integral of $\sqrt{\tan x}$

Published on 09 Feb 2024 - 11:52

42

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Properties of the Riemann integral - is my proof correct?

Published on 11 Feb 2024 - 13:57

235

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How to find the coefficient of $x^k$ in the expression $\prod_{p=1}^n (x^p+1)^p$?

Published on 01 Apr 2026 - 6:21

39

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Integration of multivariate odd symmetric function

Published on 11 Apr 2026 - 4:23

123

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How to evaluate $\int\left(\frac{\sin(x)}{2\sin(x)- x(1+\cos(x))}\right)^2dx$?

Published on 07 Apr 2026 - 0:22

60

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integral of $\int \frac {dx}{2\sin(x)^2 + 3\cos(x)^2} $

Published on 17 Feb 2024 - 6:09

74

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Evaluating the integral as a function of a matrix and a vector

Published on 11 Apr 2026 - 11:56

53

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Inverse Mellin's tranform of Pochhammer(quotient of Gamma functions)

Published on 25 Mar 2026 - 20:11

46

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Does $\frac{\int^a_b f(x)dx}{\int^a_b g(x)dx}= \int^a_b \frac{f(x)}{g(x)}dx$ for $g(x)\neq 0$ with $x\in [a,b]$

Published on 19 Feb 2024 - 1:48

73

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Sufficient condition for convergence of integral

Published on 10 Apr 2026 - 20:37

List Question

On the definition of non elementary primitives

Does every function that is continuous in $\mathbb{R}$ admit a primitive?

What does the $dx$ mean in the notation for the indefinite integral?

u-substitution of indefinite integrals without algebraically manipulating differentials

How $\frac{1}{2a} \log {|\frac{x+a}{x-a}|} + C = \frac{1}{2a} \log {|\frac{a+x}{a-x}|} + C$

Integral of $\sqrt{\tan x}$

Properties of the Riemann integral - is my proof correct?

How to find the coefficient of $x^k$ in the expression $\prod_{p=1}^n (x^p+1)^p$?

Integration of multivariate odd symmetric function

How to evaluate $\int\left(\frac{\sin(x)}{2\sin(x)- x(1+\cos(x))}\right)^2dx$?

integral of $\int \frac {dx}{2\sin(x)^2 + 3\cos(x)^2} $

Evaluating the integral as a function of a matrix and a vector

Inverse Mellin's tranform of Pochhammer(quotient of Gamma functions)

Does $\frac{\int^a_b f(x)dx}{\int^a_b g(x)dx}= \int^a_b \frac{f(x)}{g(x)}dx$ for $g(x)\neq 0$ with $x\in [a,b]$

Sufficient condition for convergence of integral

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