List questions from indefinite-integrals

Published on 28 May 2014 - 21:51

257

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

Published on 28 May 2014 - 22:33

101

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Solving the Integral using $\ln|u|$

Published on 29 May 2014 - 1:41

96

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How to solve this first order non-linear ODE

Published on 29 May 2014 - 12:36

72

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How to evaluate this integral for this type?

Published on 30 May 2014 - 17:27

1.6k

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Is the integral test not valid for negative, upwards-trending functions?

Published on 30 May 2014 - 17:53

319

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How to integrate this formula with secant, exponential, and tangent?

Published on 30 May 2014 - 18:36

95

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Could we find another representation for this integral when Wolfram Alpha provide no answer for that?

Published on 31 May 2014 - 18:44

608

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How to solve $\int \frac{\,dx}{(x^3 + x + 1)^3}$?

Published on 31 May 2014 - 20:50

97

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A doubt about an improper integral

Published on 01 Jun 2014 - 10:27

154

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Integration by parts, natural logarithm

Published on 02 Jun 2014 - 6:07

41

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Integrating factor for a particular equation

Published on 02 Jun 2014 - 6:47

155

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Prove $\int\frac{12x\sin^{-1}x}{9x^4+6x^2+1}dx=-\frac{2\sin^{-1}x}{3x^2+1}+\tan^{-1}\left(\frac{2x}{\sqrt{1-x^2}}\right)+C$

Published on 02 Jun 2014 - 9:43

127

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Is $\int\frac{-1}{\sqrt{-x^2+1}}$ equal to $\arccos$ or $\arcsin$?

Published on 02 Jun 2014 - 11:00

87

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Find $\int\cos x \left(\cos x - 2\sin x \right) dx$

Published on 02 Jun 2014 - 12:36

List Question

Compute $\int \frac{\sin x+\cos x}{\sqrt[3]{\sin x-\cos x}}\,\mathrm dx$

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

Solving the Integral using $\ln|u|$

How to solve this first order non-linear ODE

How to evaluate this integral for this type?

Is the integral test not valid for negative, upwards-trending functions?

How to integrate this formula with secant, exponential, and tangent?

Could we find another representation for this integral when Wolfram Alpha provide no answer for that?

How to solve $\int \frac{\,dx}{(x^3 + x + 1)^3}$?

A doubt about an improper integral

Integration by parts, natural logarithm

Integrating factor for a particular equation

Prove $\int\frac{12x\sin^{-1}x}{9x^4+6x^2+1}dx=-\frac{2\sin^{-1}x}{3x^2+1}+\tan^{-1}\left(\frac{2x}{\sqrt{1-x^2}}\right)+C$

Is $\int\frac{-1}{\sqrt{-x^2+1}}$ equal to $\arccos$ or $\arcsin$?

Find $\int\cos x \left(\cos x - 2\sin x \right) dx$

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