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The Artist
  • Member for 7 years, 11 months
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56 votes
12 answers
9k views

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

29 votes
3 answers
1k views

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

15 votes
4 answers
2k views

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

13 votes
5 answers
50k views

How to solve this to find the Null Space

13 votes
7 answers
453 views

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

7 votes
0 answers
434 views

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

7 votes
1 answer
1k views

Please help me find a complex number book suitable for me

6 votes
4 answers
198 views

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

5 votes
1 answer
726 views

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

5 votes
1 answer
164 views

Exact value of polynomial at trigonometric argument

4 votes
3 answers
788 views

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

4 votes
3 answers
1k views

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

3 votes
1 answer
1k views

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

3 votes
1 answer
619 views

Showing that this is a subspace iff a constant is zero

3 votes
2 answers
706 views

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

3 votes
1 answer
70 views

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

3 votes
1 answer
136 views

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

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

2 votes
1 answer
26 views

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

2 votes
3 answers
10k views

Is there something called the Reduced Column echleon form?

2 votes
1 answer
593 views

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

2 votes
1 answer
130 views

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

2 votes
3 answers
3k views

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

2 votes
2 answers
165 views

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

2 votes
1 answer
308 views

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

2 votes
2 answers
163 views

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

2 votes
1 answer
607 views

Help me understand Vector Spaces (proving linear spaces)

2 votes
2 answers
83 views

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

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 $A$

1 vote
1 answer
23 views

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