List questions from substitution

Published on 14 Jun 2017 - 2:53

143

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A long trigonometric/hyperbolic integral

Published on 29 Mar 2026 - 14:01

510

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$u$-substitution always evaluates to $0$

Published on 16 Jun 2017 - 16:05

126

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Solve $x^2+y^2+\frac {2xy}{x+y}=1$, $\sqrt {x+y}=x^2-y$

Published on 17 Jun 2017 - 11:26

153

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$8\sin x\cos x-\sqrt{6} \sin x- \sqrt{6} \cos x+1=0$, Solve for $x$

Published on 17 Jun 2017 - 15:50

47

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Substitution in integration 2

Published on 19 Jun 2017 - 21:25

175

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A simple trigonometric inequality

Published on 22 Jun 2017 - 9:52

195

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Using the Fourier transform to prove that $\int_0^\infty\frac{\sin u}{u}du$ is $\frac{\pi}{2}$

Published on 23 Jun 2017 - 9:19

726

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Find the value of $m+n+p$ if $a^{\frac{1}{m}}= b^{\frac{1}{n}} = c^{\frac{1}{p}}$ and $abc = 1$

Published on 25 Jun 2017 - 9:40

161

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If $a,b,c,d>0$ prove $\frac{2a^2+bc}{a+b+c} +\frac{2b^2+cd}{b+c+d}+\frac{2c^2+da}{c+d+a}+\frac{2d^2+ab}{d+a+b} \geq a+b+c+d$

Published on 25 Mar 2026 - 17:42

170

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Implications of making substitutions in integration by substitution

Published on 28 Jun 2017 - 0:21

210

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How to solve this logarithmic equation: $ \ x^{3\log^3 x-\big(\frac{2}{3}\big)\log x} = 100 \sqrt[3]{10}\ $

Published on 28 Jun 2017 - 15:47

1.4k

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Polynomial $x^5 + 5x^2 +1$ is irreducible or not

Published on 29 Jun 2017 - 4:24

973

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Integrating $ \int\frac{1}{\sqrt{x}+\sqrt[3]{x}}\, dx$

Published on 30 Jun 2017 - 4:55

442

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How do I solve $ \int \frac{e^x}{ 1+e^{2x}}\, dx$?

Published on 30 Jun 2017 - 11:47

List Question

How do you integrate $\frac{\cos^5(x)}{\sin^5(x) + \cos^5(x)}$?

A long trigonometric/hyperbolic integral

$u$-substitution always evaluates to $0$

Solve $x^2+y^2+\frac {2xy}{x+y}=1$, $\sqrt {x+y}=x^2-y$

$8\sin x\cos x-\sqrt{6} \sin x- \sqrt{6} \cos x+1=0$, Solve for $x$

Substitution in integration 2

A simple trigonometric inequality

Using the Fourier transform to prove that $\int_0^\infty\frac{\sin u}{u}du$ is $\frac{\pi}{2}$

Find the value of $m+n+p$ if $a^{\frac{1}{m}}= b^{\frac{1}{n}} = c^{\frac{1}{p}}$ and $abc = 1$

If $a,b,c,d>0$ prove $\frac{2a^2+bc}{a+b+c} +\frac{2b^2+cd}{b+c+d}+\frac{2c^2+da}{c+d+a}+\frac{2d^2+ab}{d+a+b} \geq a+b+c+d$

Implications of making substitutions in integration by substitution

How to solve this logarithmic equation: $ \ x^{3\log^3 x-\big(\frac{2}{3}\big)\log x} = 100 \sqrt[3]{10}\ $

Polynomial $x^5 + 5x^2 +1$ is irreducible or not

Integrating $ \int\frac{1}{\sqrt{x}+\sqrt[3]{x}}\, dx$

How do I solve $ \int \frac{e^x}{ 1+e^{2x}}\, dx$?

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