Question

Show that $\int^1_0 \frac{\tanh^{-1} x}{x} \ln [(1 + x)^3 (1 - x)] \, dx = 0$

score 509 · Answer 1 · 2019-06-12 06:49:37

509

Views

Show that $\int^1_0 \frac{\tanh^{-1} x}{x} \ln [(1 + x)^3 (1 - x)] \, dx = 0$

Published on 12 Jun 2019 - 6:49

score 214 · Answer 2 · 2019-06-13 08:52:32

214

Views

Wish to evaluate $\int_{0}^{1}\frac{x^4-3x^2+2x}{\sin(\pi x)} dx$

Published on 13 Jun 2019 - 8:52

score 168 · Answer 3 · 2019-06-14 01:31:56

168

Views

How do you integrate $\int_{0}^{\infty}\frac{a\cos{(cx)}}{a^2+x^2}dx$?

Published on 14 Jun 2019 - 1:31

score 668 · Answer 4 · 2026-03-25 12:53:41

668

Views

Evaluate $\int\limits_0^\infty \frac{\ln^2(1+x)}{1+x^2}\ dx$

Published on 25 Mar 2026 - 12:53

score 29 · Answer 5 · 2019-06-14 11:42:00

29

Views

Factorization to solve improper integral with exponentials

Published on 14 Jun 2019 - 11:42

score 161 · Answer 6 · 2019-06-15 13:28:50

161

Views

Prove that $\int_0^\infty \frac{f(x) - f(x + 1)}{f(x)}\, dx$ diverges

Published on 15 Jun 2019 - 13:28

score 182 · Answer 7 · 2019-06-16 09:02:28

182

Views

Integral $\int_{-\infty}^{+\infty} \frac { e^{t}( e^{2t} -1)} {t(1+e^{2t})^2 }dt$

Published on 16 Jun 2019 - 9:02

score 27 · Answer 8 · 2019-06-16 09:27:09

27

Views

Help evaluating convergence of an integral with parameter $a$

Published on 16 Jun 2019 - 9:27

score 207 · Answer 9 · 2019-06-16 11:45:40

207

Views

Does $\int_{0}^{\infty} \sin(x) \cdot\sin(x^2)\,dx$ converge?

Published on 16 Jun 2019 - 11:45

score 22 · Answer 10 · 2019-06-17 00:49:26

22

Views

Difficulty computing a tricky integral (computing the expected value of $e^X$ where $X$ is standard normal)

Published on 17 Jun 2019 - 0:49

score 1.1k · Answer 11 · 2026-03-29 01:36:49

1.1k

Views

Integral $\int_{-\infty}^{\infty} \arctan(e^x) \arctan(e^{-x})dx=\frac{7}{4}\zeta(3)$

Published on 29 Mar 2026 - 1:36

score 623 · Answer 12 · 2019-06-17 03:52:09

623

Views

Let $f(x)=\int_1^\infty \frac{\cos t}{x^2+t^2}dt$. Then which of the following are correct?

Published on 17 Jun 2019 - 3:52

score 46 · Answer 13 · 2019-06-17 11:01:36

46

Views

Question about convergence of an improper integral

Published on 17 Jun 2019 - 11:01

score 49 · Answer 14 · 2019-06-17 11:41:23

49

Views

Limit of integral function for $x\to +\infty$

Published on 17 Jun 2019 - 11:41

score 26 · Answer 15 · 2019-06-17 17:52:07

26

Views

Divergence of integral $\int_{a}^{t} \frac{1}{g-px^{b}} dx$

Published on 17 Jun 2019 - 17:52

List Question

Show that $\int^1_0 \frac{\tanh^{-1} x}{x} \ln [(1 + x)^3 (1 - x)] \, dx = 0$

Wish to evaluate $\int_{0}^{1}\frac{x^4-3x^2+2x}{\sin(\pi x)} dx$

How do you integrate $\int_{0}^{\infty}\frac{a\cos{(cx)}}{a^2+x^2}dx$?

Evaluate $\int\limits_0^\infty \frac{\ln^2(1+x)}{1+x^2}\ dx$

Factorization to solve improper integral with exponentials

Prove that $\int_0^\infty \frac{f(x) - f(x + 1)}{f(x)}\, dx$ diverges

Integral $\int_{-\infty}^{+\infty} \frac { e^{t}( e^{2t} -1)} {t(1+e^{2t})^2 }dt$

Help evaluating convergence of an integral with parameter $a$

Does $\int_{0}^{\infty} \sin(x) \cdot\sin(x^2)\,dx$ converge?

Difficulty computing a tricky integral (computing the expected value of $e^X$ where $X$ is standard normal)

Integral $\int_{-\infty}^{\infty} \arctan(e^x) \arctan(e^{-x})dx=\frac{7}{4}\zeta(3)$

Let $f(x)=\int_1^\infty \frac{\cos t}{x^2+t^2}dt$. Then which of the following are correct?

Question about convergence of an improper integral

Limit of integral function for $x\to +\infty$

Divergence of integral $\int_{a}^{t} \frac{1}{g-px^{b}} dx$

Trending Questions

Popular # Hahtags

Popular Questions