List questions from calculus

Published on 14 Apr 2026 - 9:05

51

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Integration with steps $\int_{-\infty}^\infty f(t-u) \, du $

Published on 14 Apr 2026 - 1:21

391

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Convergence of $\int_1^{+\infty} x^a e^{bx}\, dx$

Published on 16 Apr 2026 - 6:26

228

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How to calculate $\int \frac{x^3}{\sqrt{9-x^2}}$

Published on 15 Apr 2026 - 14:30

64

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What is the domain of $f(x)=x^{2/4}$

Published on 14 Apr 2026 - 5:36

97

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Smooth, differentiable loss function 'bounding' $[0,1]$

Published on 17 Apr 2026 - 22:39

77

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Finding the bounds of integral delimited by $r = \cos{t}$ and $r = \cos{t} + \sqrt{3} \sin t $

Published on 15 Apr 2026 - 20:28

55

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Uniform continuous function

Published on 12 Apr 2026 - 21:04

121

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Calculus of variations for the functional $I[x]=\int_{t_0}^{t_1}\frac{1}{x} + \frac{(\dot{x})^2}{x} \ dt$

Published on 25 Mar 2026 - 14:25

2.4k

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How to view 'dx' in an Integral?

Published on 10 Apr 2026 - 3:59

63

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Area between lines and parabolas (in description)

Published on 10 Apr 2026 - 17:40

98

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Show that if $\left\|\frac{\textbf{x} + \textbf{y}}{2}\right\| = 1$ then $\textbf{x} = \textbf{y}$

Published on 16 Apr 2026 - 10:22

31

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Maximising sum of two functions with just the derivatives

Published on 12 Apr 2026 - 2:16

148

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Finding an expression for $\int_{-\infty}^\infty e^{-x^2/2}\ln(\cosh(ax))dx$

Published on 13 Apr 2026 - 22:27

198

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Formal definition of a graph? $ \{ (x,f(x)) \mid x \in A \} $

Published on 16 Apr 2026 - 6:23

List Question

How to prove that $|f(x) - f(y)| \leq \pi|x-y|$

Integration with steps $\int_{-\infty}^\infty f(t-u) \, du $

Convergence of $\int_1^{+\infty} x^a e^{bx}\, dx$

How to calculate $\int \frac{x^3}{\sqrt{9-x^2}}$

What is the domain of $f(x)=x^{2/4}$

Smooth, differentiable loss function 'bounding' $[0,1]$

Finding the bounds of integral delimited by $r = \cos{t}$ and $r = \cos{t} + \sqrt{3} \sin t $

Uniform continuous function

Calculus of variations for the functional $I[x]=\int_{t_0}^{t_1}\frac{1}{x} + \frac{(\dot{x})^2}{x} \ dt$

How to view 'dx' in an Integral?

Area between lines and parabolas (in description)

Show that if $\left\|\frac{\textbf{x} + \textbf{y}}{2}\right\| = 1$ then $\textbf{x} = \textbf{y}$

Maximising sum of two functions with just the derivatives

Finding an expression for $\int_{-\infty}^\infty e^{-x^2/2}\ln(\cosh(ax))dx$

Formal definition of a graph? $ \{ (x,f(x)) \mid x \in A \} $

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