List questions from indefinite-integrals

Published on 11 Apr 2026 - 16:46

91

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Solve $\int\frac{M\cos^2u-(M-1)\sec^2u}{\sqrt{1-M\sin^2u}}\,du$ without differentiating the solution

Published on 16 Apr 2026 - 5:19

123

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Integral of $\exp(-\frac{c_1}{x}-\frac{c_2}{x^2})$ on positive real line

Published on 15 Apr 2026 - 10:10

171

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Finding the indefinite integral of $\int_0^\pi\sqrt{\sin^3x - \sin^5x}dx$

Published on 16 Apr 2026 - 2:45

81

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How to integrate $ x = \int \frac{ky^2}{\sqrt{1-k^2y^4}} dy $?

Published on 14 Apr 2026 - 23:55

147

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Can Trigonometric Substitution be used to derive the anti-derivative $\int \frac{1}{x^2 -a^2}dx = \frac{1}{2a}\ln|\frac{x-a}{x+a}| + C$?

Published on 16 Apr 2026 - 21:53

171

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Antiderivative of $\sqrt{(x^2-a^2)(x^2-b^2)(x^2-c^2)}$

Published on 16 Apr 2026 - 23:06

168

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How to compute Harter's integral on article Tables of Range and Studentized Range

Published on 12 Apr 2026 - 8:18

262

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Integrate $\frac{1}{x\sqrt{a - bx^2}}$

Published on 16 Apr 2026 - 0:38

389

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How to integrate $\int \frac{\cos(x) + \sqrt 3}{1+ 4 \sin(x+\frac{\pi}{3}) + 4\sin^2(x+\frac{\pi}{3})}{\rm d}x$

Published on 16 Apr 2026 - 6:48

118

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Are there any tricks to integrate something like this?

Published on 10 Apr 2026 - 4:59

112

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Doubt in proof of integrating by part

Published on 10 Apr 2026 - 8:17

150

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When is the inverse function of the derivative equal to the integral?

Published on 14 Apr 2026 - 1:44

177

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Find $\int \frac{\ln(1-x)}{x}dx$

Published on 15 Apr 2026 - 18:04

92

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The indefinite integral of $\frac{e^{-\frac{(\alpha +\beta )^2}{4 \alpha }}}{2 \sqrt{\pi } \sqrt{\alpha }}$ w.r.t. $\alpha$

Published on 17 Apr 2026 - 4:51

List Question

Derivation of a log of an integral

Solve $\int\frac{M\cos^2u-(M-1)\sec^2u}{\sqrt{1-M\sin^2u}}\,du$ without differentiating the solution

Integral of $\exp(-\frac{c_1}{x}-\frac{c_2}{x^2})$ on positive real line

Finding the indefinite integral of $\int_0^\pi\sqrt{\sin^3x - \sin^5x}dx$

How to integrate $ x = \int \frac{ky^2}{\sqrt{1-k^2y^4}} dy $?

Can Trigonometric Substitution be used to derive the anti-derivative $\int \frac{1}{x^2 -a^2}dx = \frac{1}{2a}\ln|\frac{x-a}{x+a}| + C$?

Antiderivative of $\sqrt{(x^2-a^2)(x^2-b^2)(x^2-c^2)}$

How to compute Harter's integral on article Tables of Range and Studentized Range

Integrate $\frac{1}{x\sqrt{a - bx^2}}$

How to integrate $\int \frac{\cos(x) + \sqrt 3}{1+ 4 \sin(x+\frac{\pi}{3}) + 4\sin^2(x+\frac{\pi}{3})}{\rm d}x$

Are there any tricks to integrate something like this?

Doubt in proof of integrating by part

When is the inverse function of the derivative equal to the integral?

Find $\int \frac{\ln(1-x)}{x}dx$

The indefinite integral of $\frac{e^{-\frac{(\alpha +\beta )^2}{4 \alpha }}}{2 \sqrt{\pi } \sqrt{\alpha }}$ w.r.t. $\alpha$

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