Question

How to evaluate $\int \frac{\sqrt{1+x}+\sqrt{1-x}}{\sqrt{1+x}-\sqrt{1-x}} dx$?

score 166 · Answer 1 · 2020-07-20 15:15:35

166

Views

How to evaluate $\int \frac{\sqrt{1+x}+\sqrt{1-x}}{\sqrt{1+x}-\sqrt{1-x}} dx$?

Published on 20 Jul 2020 - 15:15

score 223 · Answer 2 · 2020-07-21 03:21:02

223

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Other way to evaluate $\int \frac{1}{\cos 2x+3}\ dx$?

Published on 21 Jul 2020 - 3:21

score 57 · Answer 3 · 2020-07-22 06:06:27

57

Views

Find $\int_0^{\frac{\pi}{2}} e^{-a(\sin(x)+\cos(x))} \, dx$ and/or $\int_0^{\frac{\pi}{2}} e^{-a(\sin(x)+\cos(x))} \sin(\cos(x)) \, dx$

Published on 22 Jul 2020 - 6:06

score 92 · Answer 4 · 2020-07-22 06:29:55

92

Views

How to evaluate $\int_{0}^{\infty} x^{\nu} \frac{e^{-\sqrt{x^2+a^2}}}{\sqrt{x^2+a^2}} \, dx$?

Published on 22 Jul 2020 - 6:29

score 42 · Answer 5 · 2020-07-22 09:56:15

42

Views

How to evaluate/simplify integration with 4 parts?

Published on 22 Jul 2020 - 9:56

score 61 · Answer 6 · 2020-07-23 13:13:44

61

Views

Mistake in evaluating $ \int {\frac{\cos 2x}{(\cos x+\sin x)^2 }}dx$

Published on 23 Jul 2020 - 13:13

score 166 · Answer 7 · 2020-07-24 18:52:24

166

Views

What is the problem with this method while integrating $(e^x-(2x+3)^4)^3$?

Published on 24 Jul 2020 - 18:52

score 173 · Answer 8 · 2020-07-25 06:06:07

173

Views

Evaluate $\int \frac{2-x^3}{(1+x^3)^{3/2}} dx$

Published on 25 Jul 2020 - 6:06

score 72 · Answer 9 · 2026-03-28 16:58:01

72

Views

How to evaluate $\int \frac{\left(2-z\left(u\right)\right)z'\left(u\right)}{\left(z\left(u\right)\right)^2-z\left(u\right)+2}du$?

Published on 28 Mar 2026 - 16:58

score 88 · Answer 10 · 2020-07-25 17:23:31

88

Views

How to solve the ODE $y' = \frac{x+y-2}{y-x-4}$?

Published on 25 Jul 2020 - 17:23

score 108 · Answer 11 · 2020-07-26 12:03:39

108

Views

Integrate $\frac{x}{(x^4+1)^2 \sqrt{(x^2-x+1)}}$.

Published on 26 Jul 2020 - 12:03

score 198 · Answer 12 · 2020-07-26 15:35:24

198

Views

Solving $\frac{\mathrm{d}y}{\mathrm{d}x}=\frac{xy+{y}^{2}}{{x}^{2}+{y}^{2}}$.

Published on 26 Jul 2020 - 15:35

score 112 · Answer 13 · 2026-03-30 10:56:55

112

Views

Is this a good justification for why integration by substitution works?

Published on 30 Mar 2026 - 10:56

score 24 · Answer 14 · 2020-07-26 22:47:36

24

Views

Need help with integral manipulation

Published on 26 Jul 2020 - 22:47

score 61 · Answer 15 · 2020-07-27 06:49:44

61

Views

About First and second Fundamental Theorem of Calculus

Published on 27 Jul 2020 - 6:49

List Question

How to evaluate $\int \frac{\sqrt{1+x}+\sqrt{1-x}}{\sqrt{1+x}-\sqrt{1-x}} dx$?

Other way to evaluate $\int \frac{1}{\cos 2x+3}\ dx$?

Find $\int_0^{\frac{\pi}{2}} e^{-a(\sin(x)+\cos(x))} \, dx$ and/or $\int_0^{\frac{\pi}{2}} e^{-a(\sin(x)+\cos(x))} \sin(\cos(x)) \, dx$

How to evaluate $\int_{0}^{\infty} x^{\nu} \frac{e^{-\sqrt{x^2+a^2}}}{\sqrt{x^2+a^2}} \, dx$?

How to evaluate/simplify integration with 4 parts?

Mistake in evaluating $ \int {\frac{\cos 2x}{(\cos x+\sin x)^2 }}dx$

What is the problem with this method while integrating $(e^x-(2x+3)^4)^3$?

Evaluate $\int \frac{2-x^3}{(1+x^3)^{3/2}} dx$

How to evaluate $\int \frac{\left(2-z\left(u\right)\right)z'\left(u\right)}{\left(z\left(u\right)\right)^2-z\left(u\right)+2}du$?

How to solve the ODE $y' = \frac{x+y-2}{y-x-4}$?

Integrate $\frac{x}{(x^4+1)^2 \sqrt{(x^2-x+1)}}$.

Solving $\frac{\mathrm{d}y}{\mathrm{d}x}=\frac{xy+{y}^{2}}{{x}^{2}+{y}^{2}}$.

Is this a good justification for why integration by substitution works?

Need help with integral manipulation

About First and second Fundamental Theorem of Calculus

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