List questions from indefinite-integrals

Published on 15 Apr 2026 - 18:38

119

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Evaluate: $\int \sqrt{2x+\sqrt{2x+\sqrt{2x+...\infty}}}dx$

Published on 16 Apr 2026 - 6:47

144

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Why is integral of $(x+y)^2 \,dx$ different than integral of $(x^2+ 2xy + y^2) \,dx$?

Published on 16 Apr 2026 - 1:42

134

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Brainfreeze, can't integrate $x-1$

Published on 12 Apr 2026 - 12:45

208

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When does $\sqrt{f(x)}\exp{g(x)}$ have an elementary antiderivative?

Published on 25 Apr 2026 - 19:57

322

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Why are certain indefinite integrals unsolvable while their corresponding definite integrals are solvable (in a specified interval)?

Published on 14 Apr 2026 - 15:46

52

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Integratation of erfc(a+bz)

Published on 17 Apr 2026 - 15:41

49

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Representation of parametric integral through special functions

Published on 14 Apr 2026 - 13:57

95

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Tricky integrals in the form $\int_0^\pi{\frac{\sin{\theta}}{(1+(k^2+q^2-2kq\cos{\theta})a^2)^n}}d\theta$

Published on 15 Apr 2026 - 17:11

114

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Calculating $\int\frac{a^4-x^4}{x^4+a^2x^2+a^4}dx$

Published on 16 Apr 2026 - 12:16

128

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Problem with the definition of the Indefinite integral

Published on 11 Apr 2026 - 6:06

75

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$\int\frac{a^4-x^4}{(x^4+a^2x^2+a^4)^{3/2}} dx$

Published on 16 Apr 2026 - 21:40

73

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Is it possible to integrate this equation?

Published on 29 Apr 2026 - 17:17

225

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$\int\frac{dx}{\sqrt{\alpha+\beta x+\gamma x^2}}=\frac{1}{\sqrt{-\gamma}}\arccos\bigl(-\frac{\beta+2\gamma x}{\sqrt{q}}\bigr)$?

Published on 17 Apr 2026 - 4:09

154

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Compute $\int x^n(\ln(x))^n\,\mathrm{d}x$ by induction

Published on 16 Apr 2026 - 1:33

List Question

Evaluate two integrals

Evaluate: $\int \sqrt{2x+\sqrt{2x+\sqrt{2x+...\infty}}}dx$

Why is integral of $(x+y)^2 \,dx$ different than integral of $(x^2+ 2xy + y^2) \,dx$?

Brainfreeze, can't integrate $x-1$

When does $\sqrt{f(x)}\exp{g(x)}$ have an elementary antiderivative?

Why are certain indefinite integrals unsolvable while their corresponding definite integrals are solvable (in a specified interval)?

Integratation of erfc(a+bz)

Representation of parametric integral through special functions

Tricky integrals in the form $\int_0^\pi{\frac{\sin{\theta}}{(1+(k^2+q^2-2kq\cos{\theta})a^2)^n}}d\theta$

Calculating $\int\frac{a^4-x^4}{x^4+a^2x^2+a^4}dx$

Problem with the definition of the Indefinite integral

$\int\frac{a^4-x^4}{(x^4+a^2x^2+a^4)^{3/2}} dx$

Is it possible to integrate this equation?

$\int\frac{dx}{\sqrt{\alpha+\beta x+\gamma x^2}}=\frac{1}{\sqrt{-\gamma}}\arccos\bigl(-\frac{\beta+2\gamma x}{\sqrt{q}}\bigr)$?

Compute $\int x^n(\ln(x))^n\,\mathrm{d}x$ by induction

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