Question

Combining and simplifying equations

score 89 · Answer 1 · 2026-03-26 01:26:29

89

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Combining and simplifying equations

Published on 26 Mar 2026 - 1:26

score 164 · Answer 2 · 2020-12-30 20:24:18

164

Views

Solve $ \int\frac{1}{\sin(x)-\cos(2x)}dx $ ...

Published on 30 Dec 2020 - 20:24

score 62 · Answer 3 · 2020-12-30 21:45:02

62

Views

Find natural numbers $u, v$ for which $\displaystyle 2\sqrt{u} + 4\sqrt{v - u} - 7 \geq v$.

Published on 30 Dec 2020 - 21:45

score 66 · Answer 4 · 2021-01-05 09:59:05

66

Views

Why the method of substitution become wrong in this question?

Published on 05 Jan 2021 - 9:59

score 55 · Answer 5 · 2021-01-08 08:24:18

55

Views

Can we divide by $x$ when doing U-Substitution

Published on 08 Jan 2021 - 8:24

score 150 · Answer 6 · 2021-01-09 04:22:07

150

Views

Express roots of equation $acx^2-b(c+a)x+(c+a)^2=0$ in terms of $\alpha, \beta, $

Published on 09 Jan 2021 - 4:22

score 28 · Answer 7 · 2026-03-25 19:07:11

28

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Disclude a number in a sequence so that the greatest divisor common of all the others at most. Find that GCD and the position of that discluded one.

Published on 25 Mar 2026 - 19:07

score 201 · Answer 8 · 2021-01-14 06:07:56

201

Views

Step by step solution of an Indefinite Integral

Published on 14 Jan 2021 - 6:07

score 113 · Answer 9 · 2021-01-17 09:12:59

113

Views

Find the relationship between $x$ and $y$ so that $y:=0\rightarrow\frac{\pi}{2}\Leftrightarrow x:=y\rightarrow\frac{\pi}{2}$

Published on 17 Jan 2021 - 9:12

score 38 · Answer 10 · 2021-01-17 13:17:41

38

Views

Integration by subsitution

Published on 17 Jan 2021 - 13:17

score 60 · Answer 11 · 2026-03-26 06:31:49

60

Views

Find $\int_{\left(C\right)}xy{\rm d}x+y^{2}{\rm d}y$ with $\left(C\right)$ bound by $y\geq 0,x^{2}+y^{2}=4\left({\rm clockwise}\right).$

Published on 26 Mar 2026 - 6:31

score 87 · Answer 12 · 2021-01-20 09:18:15

87

Views

What are some good ways of visualizing the type of substitution of this integral.

Published on 20 Jan 2021 - 9:18

score 150 · Answer 13 · 2021-01-21 07:07:45

150

Views

Do I Substitute Values into an Equation Before or After Simplification of the Expression and Why?

Published on 21 Jan 2021 - 7:07

score 202 · Answer 14 · 2021-01-21 12:40:30

202

Views

Substitute $x = \sec u$ to evaluate $\int\sqrt{x^2-1}\ dx$: but why $\tan u= \sqrt{x^2 - 1}$ rather than $\tan u= -\sqrt{x^2 - 1}$ is used?

Published on 21 Jan 2021 - 12:40

score 131 · Answer 15 · 2026-03-29 19:27:41

131

Views

An other total-variation inequality of mine

Published on 29 Mar 2026 - 19:27

List Question

Combining and simplifying equations

Solve $ \int\frac{1}{\sin(x)-\cos(2x)}dx $ ...

Find natural numbers $u, v$ for which $\displaystyle 2\sqrt{u} + 4\sqrt{v - u} - 7 \geq v$.

Why the method of substitution become wrong in this question?

Can we divide by $x$ when doing U-Substitution

Express roots of equation $acx^2-b(c+a)x+(c+a)^2=0$ in terms of $\alpha, \beta, $

Disclude a number in a sequence so that the greatest divisor common of all the others at most. Find that GCD and the position of that discluded one.

Step by step solution of an Indefinite Integral

Find the relationship between $x$ and $y$ so that $y:=0\rightarrow\frac{\pi}{2}\Leftrightarrow x:=y\rightarrow\frac{\pi}{2}$

Integration by subsitution

Find $\int_{\left(C\right)}xy{\rm d}x+y^{2}{\rm d}y$ with $\left(C\right)$ bound by $y\geq 0,x^{2}+y^{2}=4\left({\rm clockwise}\right).$

What are some good ways of visualizing the type of substitution of this integral.

Do I Substitute Values into an Equation Before or After Simplification of the Expression and Why?

Substitute $x = \sec u$ to evaluate $\int\sqrt{x^2-1}\ dx$: but why $\tan u= \sqrt{x^2 - 1}$ rather than $\tan u= -\sqrt{x^2 - 1}$ is used?

An other total-variation inequality of mine

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