List questions from calculus

Published on 19 Apr 2026 - 21:42

125

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$\int \frac{x+7}{(x+8)^5}\ dx$

Published on 17 Apr 2026 - 1:58

821

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A triangle has the maximum possible area on the parabola $y = x^2$

Published on 25 Mar 2026 - 5:01

86

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Help find the second derivative of a function

Published on 17 Apr 2026 - 2:11

88

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Assume that $f \in L^1(\mathbb{R})$ $ g(x)=e^{2 i \pi x}$ compute $ f*g$

Published on 16 Apr 2026 - 1:18

72

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How can I establish the inverse function?

Published on 11 Apr 2026 - 11:25

120

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$f(x)$ is differentiable at $x = a,$ but $f(x)$ doesn't have a second derivative at $x = a$

Published on 12 Apr 2026 - 22:25

60

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ODE Substitution Problem

Published on 31 Mar 2026 - 23:24

108

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I need to find the general nth degree polynomial expansion of $x(x+1)(x+2)\dots(x+n)$ in order to solve an integral.

Published on 17 Apr 2026 - 2:16

35

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Limit of continuous function with lower bound but without a minimum when $x \to \infty$

Published on 11 Apr 2026 - 20:47

35

Views

Consider for any positive number $a$, how to show that $\sqrt{x} + \sqrt{x} \sqrt{\ln{x}} \leq 2 + 2x$?

Published on 15 Apr 2026 - 7:46

45

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When is $ (1+ |x+y|^2)^{\alpha}(x_i + y_i)(x_j + y_j) \leq C \frac{1}{(|x|+|y|)^2}$ true?

Published on 30 Mar 2026 - 15:15

74

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A question about beginning integration.

Published on 10 Apr 2026 - 21:37

56

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General Solution of First Order ODE

Published on 12 Apr 2026 - 14:38

141

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Prove that $\frac{1}{n}+\frac{1}{n+1}+\frac{1}{n+2}+....+\frac{1}{2n}\geq \frac{2}{3}$

Published on 25 Mar 2026 - 6:22

List Question

Differentiating with respect to $1 - x$

$\int \frac{x+7}{(x+8)^5}\ dx$

A triangle has the maximum possible area on the parabola $y = x^2$

Help find the second derivative of a function

Assume that $f \in L^1(\mathbb{R})$ $ g(x)=e^{2 i \pi x}$ compute $ f*g$

How can I establish the inverse function?

$f(x)$ is differentiable at $x = a,$ but $f(x)$ doesn't have a second derivative at $x = a$

ODE Substitution Problem

I need to find the general nth degree polynomial expansion of $x(x+1)(x+2)\dots(x+n)$ in order to solve an integral.

Limit of continuous function with lower bound but without a minimum when $x \to \infty$

Consider for any positive number $a$, how to show that $\sqrt{x} + \sqrt{x} \sqrt{\ln{x}} \leq 2 + 2x$?

When is $ (1+ |x+y|^2)^{\alpha}(x_i + y_i)(x_j + y_j) \leq C \frac{1}{(|x|+|y|)^2}$ true?

A question about beginning integration.

General Solution of First Order ODE

Prove that $\frac{1}{n}+\frac{1}{n+1}+\frac{1}{n+2}+....+\frac{1}{2n}\geq \frac{2}{3}$

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