Question

Integrate by reducing to standard form $\int \frac{e^{-\tan z}}{\cot^2 z} dz $

score 106 · Answer 1 · 2023-09-17 07:00:41

106

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Integrate by reducing to standard form $\int \frac{e^{-\tan z}}{\cot^2 z} dz $

Published on 17 Sep 2023 - 7:00

score 191 · Answer 2 · 2023-09-19 02:04:42

191

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How does this integral evaluate to $0=1$?

Published on 19 Sep 2023 - 2:04

score 104 · Answer 3 · 2023-09-22 20:18:06

104

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Why is $\int -\frac{1}{\sqrt{1-x^2}} dx = -\arcsin(x) $ and not $ \arccos(x) $

Published on 22 Sep 2023 - 20:18

score 61 · Answer 4 · 2023-09-24 01:28:37

61

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Evaluate: $\int\frac{x\sin x}{\left(x+\cos x\right)^2}dx$

Published on 24 Sep 2023 - 1:28

score 85 · Answer 5 · 2023-09-24 15:23:18

85

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Need help writing $(e^{2x}+2e^{x}-e^{-x}-1)e^{e^{x}+e^{-x}}$ in the form $e^{u}(f(u)+f'(u))$

Published on 24 Sep 2023 - 15:23

score 133 · Answer 6 · 2026-04-02 19:14:36

133

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Explicit expression for integral of $(1-a~x^{-1/2}-b~x)^{-3/2}$

Published on 02 Apr 2026 - 19:14

score 135 · Answer 7 · 2023-09-24 20:32:09

135

Views

$\lim_{{n \to \infty}} \left( \frac{1}{n} + \frac{1}{\sqrt{n^2 + n}} + \frac{1}{\sqrt{n^2 + 2n}} + \ldots + \frac{1}{\sqrt{n^2 + (n-1)n}} \right)$

Published on 24 Sep 2023 - 20:32

score 149 · Answer 8 · 2023-09-28 11:41:35

149

Views

What should I substitute here to solve the integral.

Published on 28 Sep 2023 - 11:41

score 63 · Answer 9 · 2023-09-29 14:57:39

63

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How to solve $\displaystyle\int \frac{dx}{\sqrt{3x + \sqrt{x^2}}}$?

Published on 29 Sep 2023 - 14:57

score 240 · Answer 10 · 2023-09-29 19:42:53

240

Views

Does the following Integral have a solution, and can its definite integral be found?

Published on 29 Sep 2023 - 19:42

score 146 · Answer 11 · 2023-10-02 21:47:09

146

Views

Question regarding "integration by parts"

Published on 02 Oct 2023 - 21:47

score 93 · Answer 12 · 2023-10-04 22:57:41

93

Views

How do i evaluate $\int_{1}^{\infty}\frac{((\left \lfloor x \right \rfloor-1)!)^2}{(2\left \lfloor x \right \rfloor-1)!}dx$

Published on 04 Oct 2023 - 22:57

score 139 · Answer 13 · 2023-10-05 07:17:25

139

Views

Integrate $\sqrt{\frac{e^x-1}{e^x+1}}$

Published on 05 Oct 2023 - 7:17

score 166 · Answer 14 · 2023-10-05 16:20:38

166

Views

Evaluate $\int\frac{\sin^2 x}{1+\sin^2 x}dx$

Published on 05 Oct 2023 - 16:20

score 150 · Answer 15 · 2023-10-06 09:24:43

150

Views

Evaluate $\int\frac{dt}{t-\sqrt{1-t^2}}$

Published on 06 Oct 2023 - 9:24

List Question

Integrate by reducing to standard form $\int \frac{e^{-\tan z}}{\cot^2 z} dz $

How does this integral evaluate to $0=1$?

Why is $\int -\frac{1}{\sqrt{1-x^2}} dx = -\arcsin(x) $ and not $ \arccos(x) $

Evaluate: $\int\frac{x\sin x}{\left(x+\cos x\right)^2}dx$

Need help writing $(e^{2x}+2e^{x}-e^{-x}-1)e^{e^{x}+e^{-x}}$ in the form $e^{u}(f(u)+f'(u))$

Explicit expression for integral of $(1-a~x^{-1/2}-b~x)^{-3/2}$

$\lim_{{n \to \infty}} \left( \frac{1}{n} + \frac{1}{\sqrt{n^2 + n}} + \frac{1}{\sqrt{n^2 + 2n}} + \ldots + \frac{1}{\sqrt{n^2 + (n-1)n}} \right)$

What should I substitute here to solve the integral.

How to solve $\displaystyle\int \frac{dx}{\sqrt{3x + \sqrt{x^2}}}$?

Does the following Integral have a solution, and can its definite integral be found?

Question regarding "integration by parts"

How do i evaluate $\int_{1}^{\infty}\frac{((\left \lfloor x \right \rfloor-1)!)^2}{(2\left \lfloor x \right \rfloor-1)!}dx$

Integrate $\sqrt{\frac{e^x-1}{e^x+1}}$

Evaluate $\int\frac{\sin^2 x}{1+\sin^2 x}dx$

Evaluate $\int\frac{dt}{t-\sqrt{1-t^2}}$

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