User MrYouMath

21 votes

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How does $-(-1)^n$ become $(-1)^{n+1}$

answered Sep 17, 2015 at 20:53

15 votes

Solve these functional equations: $\int_0^1\!{f(x)^2\, \mathrm{dx}}= \int_0^1\!{f(x)^3\, \mathrm{dx}}= \int_0^1\!{f(x)^4\, \mathrm{dx}}$

answered Apr 26, 2016 at 16:05

10 votes

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Addition of Polynomials : SAT LEVEL 2

answered Sep 12, 2015 at 17:44

9 votes

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Is it possible to find the sum of the infinite series $1/p + 2/p^2 + 3/p^3 + \cdots + n/(p^n)+\cdots$, where $p>1$?

answered Jan 1, 2017 at 19:52

8 votes

Evaluate a limit involving a definite integral

answered Feb 6, 2017 at 15:22

8 votes

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Is $x+1$ a factor of $x^{2016}-1$?

answered Oct 30, 2016 at 12:03

8 votes

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How many solutions exist for the equation $2\sin(x)+\cos(x)=\sqrt{3}$ in $[0,2\pi]$?

answered Jun 19, 2016 at 8:12

7 votes

Approximation to unsolvable system of equations

answered Jul 6, 2016 at 13:11

7 votes

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Why does this formula for $e$ work?

answered May 16, 2016 at 18:32

7 votes

Prove that $f(x)=x\sin (x)$ is surjective

answered Sep 12, 2015 at 14:48

7 votes

Solve the ODE $y'' + y ' = y^2$

answered Sep 10, 2017 at 10:23

7 votes

Compute the value of a function knowing its integral

answered Sep 23, 2017 at 17:24

7 votes

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Find $y''$ in terms of $x$ and $y$

answered Sep 29, 2017 at 9:19

6 votes

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What is the difference between the Laplacian and second order derivative?

answered Oct 31, 2017 at 12:10

6 votes

Can polynomials have solutions other than numbers?

answered Dec 21, 2017 at 12:26

6 votes

solving the differential equation : $2(x+y)dy +(3x+3y-1)dx = 0$

answered Mar 24, 2018 at 12:43

6 votes

How to evaluate $\lim_{x\to0}\frac{\sin^2\left(\frac x2\right)-\frac{x^2}4}{e^{x^2}+e^{-x^2}-2}$?

answered Sep 24, 2017 at 11:27

6 votes

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Solve nonlinear equation $-xu_x+uu_y=y$

answered Oct 2, 2017 at 13:44

6 votes

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Is Nyquist plot an alternative way insted of root locus plot?

answered Oct 14, 2017 at 18:18

6 votes

How do you know if a line is straight?

answered Oct 6, 2017 at 9:08

6 votes

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The sum of the series $1 + 2x + 3x^2 ...$

answered Oct 28, 2016 at 15:48

6 votes

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Why does the solution set for this inequality turn out this way?

answered Sep 19, 2015 at 6:48

6 votes

Express $\arcsin(x)$ in terms of $\arccos(x)$. Solve the equation 2 arctan x=arcsin x + arccos x

answered Sep 19, 2015 at 14:13

6 votes

Accepted

Finding $\int_{0}^{1}{ \frac{ e^x}{ \cosh(x)} \,dx}$ using substitution $t = \cosh(x)$

answered Jun 1, 2016 at 17:03

6 votes

Evaluation of Gaussian integral $\int_{0}^{\infty} \mathrm{e}^{-x^2} dx$

answered Jun 8, 2016 at 20:19

6 votes

Accepted

Deriving power series for $\sin x$ without using Taylor's Theorem or $\exp z$

answered Jun 9, 2016 at 20:54

6 votes

Proof of Euler's formula that doesn't use differentiation?

answered Jun 13, 2016 at 19:49

6 votes

Accepted

Inverse trig function equation

answered Sep 29, 2016 at 16:22

5 votes

How do you find the values that $x$ can take by squaring?

answered Dec 13, 2017 at 16:26

5 votes

Accepted

Derivative of vector times its transposed wrt. itself

answered Feb 23, 2018 at 9:00

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758 Answers

How does $-(-1)^n$ become $(-1)^{n+1}$

Solve these functional equations: $\int_0^1\!{f(x)^2\, \mathrm{dx}}= \int_0^1\!{f(x)^3\, \mathrm{dx}}= \int_0^1\!{f(x)^4\, \mathrm{dx}}$

Addition of Polynomials : SAT LEVEL 2

Is it possible to find the sum of the infinite series $1/p + 2/p^2 + 3/p^3 + \cdots + n/(p^n)+\cdots$, where $p>1$?

Evaluate a limit involving a definite integral

Is $x+1$ a factor of $x^{2016}-1$?

How many solutions exist for the equation $2\sin(x)+\cos(x)=\sqrt{3}$ in $[0,2\pi]$?

Approximation to unsolvable system of equations

Why does this formula for $e$ work?

Prove that $f(x)=x\sin (x)$ is surjective

Solve the ODE $y'' + y ' = y^2$

Compute the value of a function knowing its integral

Find $y''$ in terms of $x$ and $y$

What is the difference between the Laplacian and second order derivative?

Can polynomials have solutions other than numbers?

solving the differential equation : $2(x+y)dy +(3x+3y-1)dx = 0$

How to evaluate $\lim_{x\to0}\frac{\sin^2\left(\frac x2\right)-\frac{x^2}4}{e^{x^2}+e^{-x^2}-2}$?

Solve nonlinear equation $-xu_x+uu_y=y$

Is Nyquist plot an alternative way insted of root locus plot?

How do you know if a line is straight?

The sum of the series $1 + 2x + 3x^2 ...$

Why does the solution set for this inequality turn out this way?

Express $\arcsin(x)$ in terms of $\arccos(x)$. Solve the equation 2 arctan x=arcsin x + arccos x

Finding $\int_{0}^{1}{ \frac{ e^x}{ \cosh(x)} \,dx}$ using substitution $t = \cosh(x)$

Evaluation of Gaussian integral $\int_{0}^{\infty} \mathrm{e}^{-x^2} dx$

Deriving power series for $\sin x$ without using Taylor's Theorem or $\exp z$

Proof of Euler's formula that doesn't use differentiation?

Inverse trig function equation

How do you find the values that $x$ can take by squaring?

Derivative of vector times its transposed wrt. itself