Question

Find $ \int \left(\frac{f(x)}{x^2}\right)^{\frac{1}{2}} dx $ with $f(x)= \frac{x+2}{2x+3}$

score 80 · Answer 1 · 2026-04-16 00:29:53

80

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Find $ \int \left(\frac{f(x)}{x^2}\right)^{\frac{1}{2}} dx $ with $f(x)= \frac{x+2}{2x+3}$

Published on 16 Apr 2026 - 0:29

score 71 · Answer 2 · 2026-04-14 14:57:37

71

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Continuity of $f(x) (a^{[x]})$

Published on 14 Apr 2026 - 14:57

score 39 · Answer 3 · 2026-04-15 14:35:58

39

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How to prove that : $\displaystyle \int \frac{1}{1+x^2} \, \mathrm{d}x = \arctan(x) + C$?

Published on 15 Apr 2026 - 14:35

score 247 · Answer 4 · 2026-04-17 10:21:45

247

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Evaluate $\int \frac{\log(1+x^2)}{\sqrt{1-x^2}} \,\mathrm dx$

Published on 17 Apr 2026 - 10:21

score 679 · Answer 5 · 2026-04-17 07:23:21

679

Views

Integrate $\int \frac {\cos^2(x)}{1+\tan(x)} dx$

Published on 17 Apr 2026 - 7:23

score 79 · Answer 6 · 2026-04-16 18:29:24

79

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$\int \frac{x^2}{\sqrt{x^3+2}}\, dx$

Published on 16 Apr 2026 - 18:29

score 149 · Answer 7 · 2026-04-17 00:34:26

149

Views

Evaluating $\int x!\left(\frac1x+\frac{1}{x-1}+...+\frac11\right)dx$

Published on 17 Apr 2026 - 0:34

score 145 · Answer 8 · 2026-04-19 16:52:46

145

Views

Integrate $\int \frac {1}{(x+2)(x+3)} \textrm {dx}$

Published on 19 Apr 2026 - 16:52

score 324 · Answer 9 · 2026-04-11 01:23:33

324

Views

Fermi-Dirac-like indefinite integral

Published on 11 Apr 2026 - 1:23

score 266 · Answer 10 · 2026-04-15 02:43:49

266

Views

The integral of a periodic function $\int_{1}^{\infty}\frac{f(x)}{x}\,dx$

Published on 15 Apr 2026 - 2:43

score 1.1k · Answer 11 · 2026-04-16 16:03:55

1.1k

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$\int \ln(1+\sqrt{x})\,dx$ any ideas?

Published on 16 Apr 2026 - 16:03

score 401 · Answer 12 · 2026-04-15 14:02:52

401

Views

How can I solve $\int \frac{1}{\sqrt{x^2 + 7x} + 3}\, dx$

Published on 15 Apr 2026 - 14:02

score 446 · Answer 13 · 2026-04-30 02:29:35

446

Views

Why is the plot of some functions so similar to the plot of ln(x)?

Published on 30 Apr 2026 - 2:29

score 385 · Answer 14 · 2026-04-14 20:39:18

385

Views

How does $\sec^{-1}\left(\frac{x}{3}\right)$ turn out to be $\frac 13\tan^{-1}\left(\frac{\sqrt{x^2-9}}{3}\right)$?

Published on 14 Apr 2026 - 20:39

score 90 · Answer 15 · 2026-04-11 19:03:01

90

Views

What substitution can be helpful here in this given integral problem

Published on 11 Apr 2026 - 19:03

List Question

Find $ \int \left(\frac{f(x)}{x^2}\right)^{\frac{1}{2}} dx $ with $f(x)= \frac{x+2}{2x+3}$

Continuity of $f(x) (a^{[x]})$

How to prove that : $\displaystyle \int \frac{1}{1+x^2} \, \mathrm{d}x = \arctan(x) + C$?

Evaluate $\int \frac{\log(1+x^2)}{\sqrt{1-x^2}} \,\mathrm dx$

Integrate $\int \frac {\cos^2(x)}{1+\tan(x)} dx$

$\int \frac{x^2}{\sqrt{x^3+2}}\, dx$

Evaluating $\int x!\left(\frac1x+\frac{1}{x-1}+...+\frac11\right)dx$

Integrate $\int \frac {1}{(x+2)(x+3)} \textrm {dx}$

Fermi-Dirac-like indefinite integral

The integral of a periodic function $\int_{1}^{\infty}\frac{f(x)}{x}\,dx$

$\int \ln(1+\sqrt{x})\,dx$ any ideas?

How can I solve $\int \frac{1}{\sqrt{x^2 + 7x} + 3}\, dx$

Why is the plot of some functions so similar to the plot of ln(x)?

How does $\sec^{-1}\left(\frac{x}{3}\right)$ turn out to be $\frac 13\tan^{-1}\left(\frac{\sqrt{x^2-9}}{3}\right)$?

What substitution can be helpful here in this given integral problem

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