List questions from indefinite-integrals

Published on 11 Oct 2018 - 11:50

146

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What is the indefinite integral of $|f(x)|$?

Published on 12 Oct 2018 - 2:34

25

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Under which conditions the following infinite integral involving a zeroth order Bessel function is convergent / defined?

Published on 13 Oct 2018 - 10:28

79

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Integral of function $f(x)=\begin{cases} 1 & \text{if $x = 1$}\\ 0 & \text{otherwise} \end{cases}$

Published on 14 Oct 2018 - 5:59

126

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Double integral $\int_0^1\int_0^1 \frac{\sin^{-1}(xy)}{xy} dx dy$

Published on 14 Oct 2018 - 12:52

36

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Can we integrate exactly this problem.

Published on 14 Oct 2018 - 20:08

7.9k

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Integral of $\sin^5(x)\cos(x)$

Published on 15 Oct 2018 - 0:20

49

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Integral in solution of geodesic problem

Published on 15 Oct 2018 - 15:53

138

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Indefinite integral of $\frac1{1-x^a}$

Published on 16 Oct 2018 - 0:29

114

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An analytical solution of a tricky integral

Published on 16 Oct 2018 - 10:55

266

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Can I use two different substitutions for the same integral? (Not double substitutions)

Published on 17 Oct 2018 - 15:07

52

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Is that how they did it? (Solving integrals by substitution solution)

Published on 17 Oct 2018 - 17:43

67

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My attempt at $f''(x)+\sin(f'(x))=0$ does it work?

Published on 18 Oct 2018 - 17:13

221

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How to solve $I = \int_0^T (1-\alpha \beta(t)) \beta(t)^{n-1} dt $ where $\beta(t) = \frac{1-e^{-rt}}{1-\alpha e^{-rt}}$

Published on 19 Oct 2018 - 15:31

28

Views

which should be my bounds of integration be after the following substitution?

Published on 19 Oct 2018 - 21:55

List Question

How do I integrate $\int \frac{x^2}{(x^2+9)^2}\, dx$?

What is the indefinite integral of $|f(x)|$?

Under which conditions the following infinite integral involving a zeroth order Bessel function is convergent / defined?

Integral of function $f(x)=\begin{cases} 1 & \text{if $x = 1$}\\ 0 & \text{otherwise} \end{cases}$

Double integral $\int_0^1\int_0^1 \frac{\sin^{-1}(xy)}{xy} dx dy$

Can we integrate exactly this problem.

Integral of $\sin^5(x)\cos(x)$

Integral in solution of geodesic problem

Indefinite integral of $\frac1{1-x^a}$

An analytical solution of a tricky integral

Can I use two different substitutions for the same integral? (Not double substitutions)

Is that how they did it? (Solving integrals by substitution solution)

My attempt at $f''(x)+\sin(f'(x))=0$ does it work?

How to solve $I = \int_0^T (1-\alpha \beta(t)) \beta(t)^{n-1} dt $ where $\beta(t) = \frac{1-e^{-rt}}{1-\alpha e^{-rt}}$

which should be my bounds of integration be after the following substitution?

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