List questions from substitution

Published on 05 May 2026 - 3:06

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$\int \ x\sqrt{1-x^2}\,dx$, by the substitution $x= \cos t$

Published on 05 May 2026 - 5:34

206

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What is the range of the function $f(x)=\frac{4x(x^2+1)}{x^2+(x^2+1)^2}$?

Published on 29 Apr 2026 - 12:16

105

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polar coordinate subtitution

Published on 29 Apr 2026 - 12:15

157

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Trouble computing $\int_0^\pi e^{ix} dx$

Published on 05 May 2026 - 12:15

565

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Symmetric polynomial written in elementary polynomials

Published on 04 May 2026 - 21:51

197

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Prove that $\frac{1}{\sqrt{ab+a+2}}+ \frac{1}{\sqrt{bc+b+2}}+ \frac{1}{\sqrt{ac+c+2}} \leq \frac{3}{2}$

Published on 29 Apr 2026 - 12:16

707

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Polynomial Equation Problem with Complex Roots

Published on 07 May 2026 - 7:36

93

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Integral involving logarithmics and powers: $ \int_{0}^{D} z \cdot (\sqrt{1+z^{a}})^{b} \cdot \ln(\sqrt{1+z^{a}})\; \mathrm dz $

Published on 29 Apr 2026 - 12:16

367

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Inequality with $ab+bc+ca=3$

Published on 07 May 2026 - 10:06

92

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Integral $ \int_{0}^{D} x \cdot (\sqrt{1+x^a})^{b}\,dx$

Published on 29 Apr 2026 - 12:05

259

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Calculating the integral $\int \sqrt{1+\sin x}\, dx$.

Published on 07 May 2026 - 19:14

47

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Do we apply this substitution to calculate the integral?

Published on 29 Apr 2026 - 12:19

238

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How to perform this integration in terms of elementary functions?

Published on 29 Apr 2026 - 12:18

247

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Evaluate: $\int \sqrt {\tan (x)} dx$

Published on 29 Apr 2026 - 12:19

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strange partial integration

$\int \ x\sqrt{1-x^2}\,dx$, by the substitution $x= \cos t$

What is the range of the function $f(x)=\frac{4x(x^2+1)}{x^2+(x^2+1)^2}$?

polar coordinate subtitution

Trouble computing $\int_0^\pi e^{ix} dx$

Symmetric polynomial written in elementary polynomials

Prove that $\frac{1}{\sqrt{ab+a+2}}+ \frac{1}{\sqrt{bc+b+2}}+ \frac{1}{\sqrt{ac+c+2}} \leq \frac{3}{2}$

Polynomial Equation Problem with Complex Roots

Integral involving logarithmics and powers: $ \int_{0}^{D} z \cdot (\sqrt{1+z^{a}})^{b} \cdot \ln(\sqrt{1+z^{a}})\; \mathrm dz $

Inequality with $ab+bc+ca=3$

Integral $ \int_{0}^{D} x \cdot (\sqrt{1+x^a})^{b}\,dx$

Calculating the integral $\int \sqrt{1+\sin x}\, dx$.

Do we apply this substitution to calculate the integral?

How to perform this integration in terms of elementary functions?

Evaluate: $\int \sqrt {\tan (x)} dx$

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