Question

Why does the indefinite integral $\int \sin(x) \sec^2(x) dx$ give different answers for different substitutions?

score 66 · Answer 1 · 2026-04-14 18:43:20

66

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Why does the indefinite integral $\int \sin(x) \sec^2(x) dx$ give different answers for different substitutions?

Published on 14 Apr 2026 - 18:43

score 136 · Answer 2 · 2026-04-16 23:22:47

136

Views

Evaluate $\int_\pi^\infty \frac{\sin x}{\ln x}$

Published on 16 Apr 2026 - 23:22

score 968 · Answer 3 · 2026-04-14 04:54:59

968

Views

What is the fourier transform of $e^{-\frac{t^2}2}$

Published on 14 Apr 2026 - 4:54

score 64 · Answer 4 · 2026-04-10 17:36:39

64

Views

How to solve the following double integral?

Published on 10 Apr 2026 - 17:36

score 203 · Answer 5 · 2026-05-10 20:37:40

203

Views

Integrate $\int_0^\infty\frac{(1+x^2)dx}{(a^2+b^2x^2)^2}$

Published on 10 May 2026 - 20:37

score 230 · Answer 6 · 2026-05-14 09:00:55

230

Views

Fourier: Zero expansion of Cosine

Published on 14 May 2026 - 9:00

score 530 · Answer 7 · 2026-04-18 22:57:07

530

Views

Finding Area between curves

Published on 18 Apr 2026 - 22:57

score 82 · Answer 8 · 2026-04-14 16:39:11

82

Views

Does improper integral $\int\limits_{1}^{\infty}\frac{x\sin x}{x^2+3x+3}\,dx$ converge?

Published on 14 Apr 2026 - 16:39

score 105 · Answer 9 · 2026-04-17 15:56:29

105

Views

Convergence or divergence of the integral $\int\limits_{10}^\infty \frac{e^x}{x^{1 + \frac{1}{x}} (e^x -1)} \,dx$

Published on 17 Apr 2026 - 15:56

score 177 · Answer 10 · 2026-04-10 15:42:04

177

Views

Understanding the $\mathrm{d}x$ in integrals

Published on 10 Apr 2026 - 15:42

score 480 · Answer 11 · 2026-05-10 16:59:45

480

Views

Integral results in difference of means $\pi(\frac{a+b}{2} - \sqrt{ab})$

Published on 10 May 2026 - 16:59

score 263 · Answer 12 · 2026-04-25 07:27:11

263

Views

Integrability of supremum of continuous, integrable functions over compact space

Published on 25 Apr 2026 - 7:27

score 483 · Answer 13 · 2026-05-10 23:56:48

483

Views

Why does divergence represent expansion or contraction?

Published on 10 May 2026 - 23:56

score 131 · Answer 14 · 2026-05-11 02:18:21

131

Views

Divergence theorem version of Green's Theorem

Published on 11 May 2026 - 2:18

score 186 · Answer 15 · 2026-05-02 18:41:39

186

Views

Integration and hyperbolic function problem

Published on 02 May 2026 - 18:41

List Question

Why does the indefinite integral $\int \sin(x) \sec^2(x) dx$ give different answers for different substitutions?

Evaluate $\int_\pi^\infty \frac{\sin x}{\ln x}$

What is the fourier transform of $e^{-\frac{t^2}2}$

How to solve the following double integral?

Integrate $\int_0^\infty\frac{(1+x^2)dx}{(a^2+b^2x^2)^2}$

Fourier: Zero expansion of Cosine

Finding Area between curves

Does improper integral $\int\limits_{1}^{\infty}\frac{x\sin x}{x^2+3x+3}\,dx$ converge?

Convergence or divergence of the integral $\int\limits_{10}^\infty \frac{e^x}{x^{1 + \frac{1}{x}} (e^x -1)} \,dx$

Understanding the $\mathrm{d}x$ in integrals

Integral results in difference of means $\pi(\frac{a+b}{2} - \sqrt{ab})$

Integrability of supremum of continuous, integrable functions over compact space

Why does divergence represent expansion or contraction?

Divergence theorem version of Green's Theorem

Integration and hyperbolic function problem

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