Question

Looking for a way to relate $\tan^{-1}(x)$, $\ln(x)$ and complex numbers.

score 98 · Answer 1 · 2026-04-15 19:23:36

98

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Looking for a way to relate $\tan^{-1}(x)$, $\ln(x)$ and complex numbers.

Published on 15 Apr 2026 - 19:23

score 44 · Answer 2 · 2026-04-16 03:38:19

44

Views

The solution of the indefinite integral contains an error (I know correct answer), but I cannot find it

Published on 16 Apr 2026 - 3:38

score 154 · Answer 3 · 2026-04-16 17:17:27

154

Views

Evaluate $\int \frac{\sin^{3/2}(a)+\cos^{3/2}(a)}{\sqrt{\sin^3(a)\cos^3(a)\sin(a+b)}}\,da$

Published on 16 Apr 2026 - 17:17

score 69 · Answer 4 · 2026-04-16 06:48:28

69

Views

Evaluate the following integral : $ \int \frac{3 z^{3}-8 z+5}{\sqrt{z^{2}-4 z-7}} d z $

Published on 16 Apr 2026 - 6:48

score 148 · Answer 5 · 2026-04-17 03:48:29

148

Views

Evaluate the integral $\int \frac{6+4x}{1+x^2}dx$

Published on 17 Apr 2026 - 3:48

score 393 · Answer 6 · 2026-04-13 21:14:51

393

Views

Paraboloid geodesic (evaluate integral)

Published on 13 Apr 2026 - 21:14

score 143 · Answer 7 · 2026-04-17 05:15:26

143

Views

Calculating the area under the curve: $\frac{\mu^x\cdot e^{-\mu}}{Γ(x+1)}$

Published on 17 Apr 2026 - 5:15

score 93 · Answer 8 · 2026-04-17 02:21:41

93

Views

Indefinite integral - interval of validity of this equality $\int \frac{1}{\sin(x) \cdot \cos(x)} \, dx = \ln \left|\tan(x)\right|$

Published on 17 Apr 2026 - 2:21

score 329 · Answer 9 · 2026-04-16 18:54:55

329

Views

Evaluate the integral $\int \frac{\cos(x)}{\sqrt{1+\sin^2(x)}} \, dx$

Published on 16 Apr 2026 - 18:54

score 330 · Answer 10 · 2026-04-12 19:19:51

330

Views

Integral of the absolute value of an unknown function

Published on 12 Apr 2026 - 19:19

score 303 · Answer 11 · 2026-04-16 04:39:38

303

Views

Integrate $ \int \frac{1}{\sin^{4}x+\cos^{4}x}dx $

Published on 16 Apr 2026 - 4:39

score 85 · Answer 12 · 2026-04-17 05:36:54

85

Views

Find the general solution of the differential equation by using the Indefinite Coefficients Method.

Published on 17 Apr 2026 - 5:36

score 422 · Answer 13 · 2026-04-16 04:12:29

422

Views

Equivalent of product rule for integrals: $\int f'(x)g'(x)dx$

Published on 16 Apr 2026 - 4:12

score 139 · Answer 14 · 2026-04-16 08:11:24

139

Views

How to compute $\int\tfrac{e^x+1}{e^x-1}\,\mathrm dx$ without substitution?

Published on 16 Apr 2026 - 8:11

score 176 · Answer 15 · 2026-04-16 22:23:02

176

Views

Integrating $\int \frac{3x^4+2x^2+1}{\sqrt{x^4+x^2+1}} \mathrm{d}x$

Published on 16 Apr 2026 - 22:23

List Question

Looking for a way to relate $\tan^{-1}(x)$, $\ln(x)$ and complex numbers.

The solution of the indefinite integral contains an error (I know correct answer), but I cannot find it

Evaluate $\int \frac{\sin^{3/2}(a)+\cos^{3/2}(a)}{\sqrt{\sin^3(a)\cos^3(a)\sin(a+b)}}\,da$

Evaluate the following integral : $ \int \frac{3 z^{3}-8 z+5}{\sqrt{z^{2}-4 z-7}} d z $

Evaluate the integral $\int \frac{6+4x}{1+x^2}dx$

Paraboloid geodesic (evaluate integral)

Calculating the area under the curve: $\frac{\mu^x\cdot e^{-\mu}}{Γ(x+1)}$

Indefinite integral - interval of validity of this equality $\int \frac{1}{\sin(x) \cdot \cos(x)} \, dx = \ln \left|\tan(x)\right|$

Evaluate the integral $\int \frac{\cos(x)}{\sqrt{1+\sin^2(x)}} \, dx$

Integral of the absolute value of an unknown function

Integrate $ \int \frac{1}{\sin^{4}x+\cos^{4}x}dx $

Find the general solution of the differential equation by using the Indefinite Coefficients Method.

Equivalent of product rule for integrals: $\int f'(x)g'(x)dx$

How to compute $\int\tfrac{e^x+1}{e^x-1}\,\mathrm dx$ without substitution?

Integrating $\int \frac{3x^4+2x^2+1}{\sqrt{x^4+x^2+1}} \mathrm{d}x$

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