List questions from substitution

Published on 25 Mar 2026 - 6:30

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Matrix calclulus: inverting a gradient by substitution

Published on 21 Aug 2017 - 10:04

222

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Evaluate the integral: $\int{\frac{1}{x\sqrt{\ln{x}}}}.dx$

Published on 26 Mar 2026 - 23:11

367

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First order logic substitution

Published on 30 Aug 2017 - 0:21

121

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$x^3+x+m=0$, $x_1^5+x_2^5+x_3^5=10$, $m=?$

Published on 30 Aug 2017 - 10:39

443

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Does the average value of a function ever depend on the variable it's being integrated with respect to?

Published on 31 Aug 2017 - 4:17

91

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Real roots of Irrational equation

Published on 01 Sep 2017 - 17:25

486

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Find $\int_{0}^{2\pi} \frac{1}{\sin^4x + \cos^4x} dx$.

Published on 01 Sep 2017 - 18:26

2.2k

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Limit Inverse Trigonometric function

Published on 03 Sep 2017 - 18:40

323

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Given that $\log_6 2 = .387$ ,find $\log_6 9$

Published on 05 Sep 2017 - 7:11

1.1k

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Solve this trigonometric equation ${\tan ^2}x + {\cot ^2}x - 3(\tan x - \cot x) = 0$

Published on 05 Sep 2017 - 11:55

293

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Evaluate :$\int_0^1 \frac{1}{\left(1+\sqrt{\frac{1}{x}-1}\right)(x^2-x-1)}\mathrm dx$

Published on 05 Sep 2017 - 20:22

240

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Let $(x, y, z)\in \Bbb R$, prove that $\big(\frac{2x-y}{x-y}\big)^2+\big(\frac{2y-z}{y-z}\big)^2 +\big(\frac{2z-x}{z-x}\big)^2 \geqslant 5$

Published on 06 Sep 2017 - 21:25

96

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Strange inequality over the positive reals

Published on 25 Mar 2026 - 17:37

91

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Find minimum value of $7(a^4+b^4+c^4)+\frac{ab+bc+ca}{a^2b+b^2c+c^2a}$

Published on 31 Mar 2026 - 5:22

List Question

If $n\geq m$ then $(x^m+y^m)^{1/m} \ge (x^n+y^n)^{1/n}$

Matrix calclulus: inverting a gradient by substitution

Evaluate the integral: $\int{\frac{1}{x\sqrt{\ln{x}}}}.dx$

First order logic substitution

$x^3+x+m=0$, $x_1^5+x_2^5+x_3^5=10$, $m=?$

Does the average value of a function ever depend on the variable it's being integrated with respect to?

Real roots of Irrational equation

Find $\int_{0}^{2\pi} \frac{1}{\sin^4x + \cos^4x} dx$.

Limit Inverse Trigonometric function

Given that $\log_6 2 = .387$ ,find $\log_6 9$

Solve this trigonometric equation ${\tan ^2}x + {\cot ^2}x - 3(\tan x - \cot x) = 0$

Evaluate :$\int_0^1 \frac{1}{\left(1+\sqrt{\frac{1}{x}-1}\right)(x^2-x-1)}\mathrm dx$

Let $(x, y, z)\in \Bbb R$, prove that $\big(\frac{2x-y}{x-y}\big)^2+\big(\frac{2y-z}{y-z}\big)^2 +\big(\frac{2z-x}{z-x}\big)^2 \geqslant 5$

Strange inequality over the positive reals

Find minimum value of $7(a^4+b^4+c^4)+\frac{ab+bc+ca}{a^2b+b^2c+c^2a}$

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