User The Artist

56 votes

12 answers

9k views

Any smart ideas on finding the area of this shaded region?

asked Jul 29, 2016 at 9:09

29 votes

3 answers

1k views

Is there other methods to evaluate $\int_1^{\infty}\frac{\{x\}-\frac{1}{2}}{x}\ \mathrm dx$?

calculus integration definite-integrals improper-integrals

asked Dec 6, 2014 at 8:34

15 votes

4 answers

2k views

What are other methods to evaluate $\int_0^1 \sqrt{-\ln x} \ \mathrm dx$

calculus integration definite-integrals improper-integrals

asked Dec 25, 2014 at 11:41

13 votes

5 answers

50k views

How to solve this to find the Null Space

linear-algebra vector-spaces

asked Oct 29, 2014 at 13:05

13 votes

7 answers

453 views

Help me to finish calculating $\int_0^{\infty} \frac{1}{x^3-1}dx$

calculus integration definite-integrals cauchy-principal-value

asked Nov 12, 2014 at 15:48

7 votes

0 answers

434 views

Can we interchange the Integral and Summation when a limit is $\infty$?

calculus definite-integrals summation

asked Jan 29, 2015 at 7:25

7 votes

1 answer

1k views

Please help me find a complex number book suitable for me

reference-request complex-numbers book-recommendation

asked Oct 28, 2014 at 10:26

6 votes

4 answers

198 views

What are other methods to Evaluate $\int_0^{\infty} \frac{y^{m-1}}{1+y} dy$?

calculus integration definite-integrals

asked Jan 3, 2015 at 13:06

5 votes

1 answer

726 views

How to prove $\sum_{k=1}^{N} \frac{\sin n\theta}{2^N}=\frac{2^{N+1}\sin \theta + \sin N\theta -2\sin(N+1)\theta}{2^N(5-4\cos \theta)}$

complex-analysis complex-numbers summation

asked Oct 29, 2014 at 11:57

5 votes

1 answer

164 views

Exact value of polynomial at trigonometric argument

trigonometry polynomials

asked Oct 23, 2014 at 11:54

4 votes

3 answers

788 views

How to show that this complex equation has 10 non real roots and how to express them

complex-analysis complex-numbers

asked Oct 29, 2014 at 5:12

4 votes

3 answers

1k views

A method of finding the eigenvector that I don't fully understand

linear-algebra eigenvalues-eigenvectors

asked Oct 24, 2014 at 13:00

3 votes

1 answer

1k views

How to find the roots of $(\frac{z-1}{z})^5=1$

complex-analysis complex-numbers

asked Oct 25, 2014 at 13:02

3 votes

1 answer

619 views

Showing that this is a subspace iff a constant is zero

linear-algebra

asked Oct 20, 2014 at 17:46

3 votes

2 answers

706 views

Converting plane equation from $ax+by+cz=d$ to $r=a+\lambda b+\mu c$

multivariable-calculus vectors

asked Oct 21, 2014 at 14:36

3 votes

1 answer

70 views

How to find $α^2(β^4 +γ^4 +δ^4)+β^2(γ^4 +δ^4 +α^4)+γ^2(δ^4 +α^4 +β^4)+δ^2(α^4 +β^4 +γ^4)$

linear-algebra polynomials roots

asked Oct 23, 2014 at 7:35

3 votes

1 answer

136 views

Finding the determinant of the adjoint of matrix of A whose determinant is 2.

linear-algebra solution-verification

asked Jun 21, 2015 at 8:19

3 votes

1 answer

241 views

How to calculate $P(X>a|X>a+b)$ and relate the meaning of a conditional equation to a real life situation

probability probability-theory probability-distributions conditional-probability

asked Nov 3, 2014 at 6:56

2 votes

1 answer

26 views

Have I approached this question correctly on conditioning the components of a vector that spans a subspace?

linear-algebra solution-verification

asked Jun 20, 2015 at 15:58

2 votes

3 answers

10k views

Is there something called the Reduced Column echleon form?

linear-algebra matrix-equations

asked Oct 23, 2014 at 8:26

2 votes

1 answer

593 views

Is there a quicker way to write $\cos (n\theta)$ in terms of $\cos \theta$?

complex-analysis trigonometry polynomials

asked Oct 23, 2014 at 10:48

2 votes

1 answer

130 views

How to get rid of $(\frac{dw}{dx})^2$ term in a differential equation

calculus ordinary-differential-equations

asked Oct 24, 2014 at 16:07

2 votes

3 answers

3k views

How to express $z^8 − 1$ as the product of two linear factors and three quadratic factors

complex-analysis

asked Oct 27, 2014 at 16:41

2 votes

2 answers

165 views

How to find $\omega^7$ and $\omega^6$ from $\omega^5+1=0$

complex-analysis

asked Oct 27, 2014 at 20:34

2 votes

1 answer

308 views

Does all Eigenvectors of $A$ lie on the vector space of $Ax$?

linear-algebra vector-spaces eigenvalues-eigenvectors

asked Oct 28, 2014 at 6:58

2 votes

2 answers

163 views

How to find the roots of $(w−1)^4 +(w−1)^3 +(w−1)^2 +w=0$

complex-analysis complex-numbers

asked Oct 24, 2014 at 9:49

2 votes

1 answer

607 views

Help me understand Vector Spaces (proving linear spaces)

linear-algebra

asked Oct 24, 2014 at 11:29

2 votes

2 answers

83 views

Finding a number $M$ such that $S_N<10^{-20}$ for all $N>M$

summation

asked Oct 26, 2014 at 17:42

1 vote

4 answers

583 views

Proving that $A+A^2+A^3$ has eigenvalue $\lambda+\lambda^2+\lambda^3$ where $\lambda$ is an eigenvalue of $A$

linear-algebra eigenvalues-eigenvectors

asked Oct 26, 2014 at 18:24

1 vote

1 answer

23 views

how to find a function $f(x)$ such that $\lim_{x\to \infty} (\frac{y}{ f(x)})=1$

ordinary-differential-equations limits

asked Oct 25, 2014 at 11:11

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57 Questions

Any smart ideas on finding the area of this shaded region?

Is there other methods to evaluate $\int_1^{\infty}\frac{\{x\}-\frac{1}{2}}{x}\ \mathrm dx$?

What are other methods to evaluate $\int_0^1 \sqrt{-\ln x} \ \mathrm dx$

How to solve this to find the Null Space

Help me to finish calculating $\int_0^{\infty} \frac{1}{x^3-1}dx$

Can we interchange the Integral and Summation when a limit is $\infty$?

Please help me find a complex number book suitable for me

What are other methods to Evaluate $\int_0^{\infty} \frac{y^{m-1}}{1+y} dy$?

How to prove $\sum_{k=1}^{N} \frac{\sin n\theta}{2^N}=\frac{2^{N+1}\sin \theta + \sin N\theta -2\sin(N+1)\theta}{2^N(5-4\cos \theta)}$

Exact value of polynomial at trigonometric argument

How to show that this complex equation has 10 non real roots and how to express them

A method of finding the eigenvector that I don't fully understand

How to find the roots of $(\frac{z-1}{z})^5=1$

Showing that this is a subspace iff a constant is zero

Converting plane equation from $ax+by+cz=d$ to $r=a+\lambda b+\mu c$

How to find $α^2(β^4 +γ^4 +δ^4)+β^2(γ^4 +δ^4 +α^4)+γ^2(δ^4 +α^4 +β^4)+δ^2(α^4 +β^4 +γ^4)$

Finding the determinant of the adjoint of matrix of A whose determinant is 2.

How to calculate $P(X>a|X>a+b)$ and relate the meaning of a conditional equation to a real life situation

Have I approached this question correctly on conditioning the components of a vector that spans a subspace?

Is there something called the Reduced Column echleon form?

Is there a quicker way to write $\cos (n\theta)$ in terms of $\cos \theta$?

How to get rid of $(\frac{dw}{dx})^2$ term in a differential equation

How to express $z^8 − 1$ as the product of two linear factors and three quadratic factors

How to find $\omega^7$ and $\omega^6$ from $\omega^5+1=0$

Does all Eigenvectors of $A$ lie on the vector space of $Ax$?

How to find the roots of $(w−1)^4 +(w−1)^3 +(w−1)^2 +w=0$

Help me understand Vector Spaces (proving linear spaces)

Finding a number $M$ such that $S_N<10^{-20}$ for all $N>M$

Proving that $A+A^2+A^3$ has eigenvalue $\lambda+\lambda^2+\lambda^3$ where $\lambda$ is an eigenvalue of $A$

how to find a function $f(x)$ such that $\lim_{x\to \infty} (\frac{y}{ f(x)})=1$