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Integration by substitution as the chain rule for integration

score 1.1k · Answer 1 · 2026-05-11 03:54:58

1.1k

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Integration by substitution as the chain rule for integration

Published on 11 May 2026 - 3:54

score 80 · Answer 2 · 2026-04-10 03:56:55

80

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Some Fundamental theory of calc questions

Published on 10 Apr 2026 - 3:56

score 71 · Answer 3 · 2026-04-12 06:19:47

71

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Some fundamental theory of calc 2 questions.

Published on 12 Apr 2026 - 6:19

score 214 · Answer 4 · 2026-04-14 12:59:11

214

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Evaluating $ \lim _{x\to \:-\pi /6}\frac{\cos 2x+\sin x}{\sin 2x+\cos x}$

Published on 14 Apr 2026 - 12:59

score 462 · Answer 5 · 2026-05-14 20:55:34

462

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Prove that $\int_0^1 (x \log x)^{n-1}dx = (n-1)!/n^n$ by induction.

Published on 14 May 2026 - 20:55

score 447 · Answer 6 · 2026-04-23 02:15:41

447

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Calculate $\lim_{t\to \infty}\frac{1}{t^2}\int_0^t \ln(e^x+x^2)\,dx$

Published on 23 Apr 2026 - 2:15

score 133 · Answer 7 · 2026-05-11 03:14:11

133

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What method should be used to integrate $\int \sqrt{2x - x^2} \,\mathrm d x$?

Published on 11 May 2026 - 3:14

score 298 · Answer 8 · 2026-04-16 07:16:25

298

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Evaluating $\int\limits_0^\infty{\frac{1}{1+x^2+x^\alpha}dx}$

Published on 16 Apr 2026 - 7:16

score 663 · Answer 9 · 2026-05-14 13:52:43

663

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Why does $x^2 = 0$ give a repeated root of $x=0,0$ instead of a single root of $x=0$.

Published on 14 May 2026 - 13:52

score 664 · Answer 10 · 2026-04-24 18:17:04

664

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How to prove divergent sequences?

Published on 24 Apr 2026 - 18:17

score 100 · Answer 11 · 2026-04-11 09:06:38

100

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What is meant by $f(x) = [x]$ on $[0, a]$?

Published on 11 Apr 2026 - 9:06

score 770 · Answer 12 · 2026-04-14 20:46:56

770

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A counterexample of the converse of the theorem of sequence and its function

Published on 14 Apr 2026 - 20:46

score 109 · Answer 13 · 2026-05-11 18:31:15

109

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Misunderstanding small detail in simple lagrange multipliers proof

Published on 11 May 2026 - 18:31

score 73 · Answer 14 · 2026-04-23 02:03:21

73

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Proving a certain limit is 0 given that the function is differentiable at that limit point

Published on 23 Apr 2026 - 2:03

score 67 · Answer 15 · 2026-04-24 18:21:35

67

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Proving $\{x \cdot f(x)\} \rightarrow 0$ given $\{x\} \rightarrow 0$

Published on 24 Apr 2026 - 18:21

List Question

Integration by substitution as the chain rule for integration

Some Fundamental theory of calc questions

Some fundamental theory of calc 2 questions.

Evaluating $ \lim _{x\to \:-\pi /6}\frac{\cos 2x+\sin x}{\sin 2x+\cos x}$

Prove that $\int_0^1 (x \log x)^{n-1}dx = (n-1)!/n^n$ by induction.

Calculate $\lim_{t\to \infty}\frac{1}{t^2}\int_0^t \ln(e^x+x^2)\,dx$

What method should be used to integrate $\int \sqrt{2x - x^2} \,\mathrm d x$?

Evaluating $\int\limits_0^\infty{\frac{1}{1+x^2+x^\alpha}dx}$

Why does $x^2 = 0$ give a repeated root of $x=0,0$ instead of a single root of $x=0$.

How to prove divergent sequences?

What is meant by $f(x) = [x]$ on $[0, a]$?

A counterexample of the converse of the theorem of sequence and its function

Misunderstanding small detail in simple lagrange multipliers proof

Proving a certain limit is 0 given that the function is differentiable at that limit point

Proving $\{x \cdot f(x)\} \rightarrow 0$ given $\{x\} \rightarrow 0$

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