general
Definite integral of even powers of Cosine.
I'm looking for a step-by-step solution to the following integral, in terms of n$$\int_0^{\frac{\pi}{2}} \cos^{2n}(x) \ {dx}$$I actually KNOW that th...
Apr 15, 2026
Archive: General
general
At what points does the curve intersect with the paraboloid?
$r(t) = ti+(2t-t^{2})k$ intersect the paraboloid $z = x^2 + y^2$ What am I missing here? Can I get some hints that lead me as to what I need to do here? I...
Apr 15, 2026
general
Solving Differential Equation $y'=\sin(y-x-1)$
I'm stucked with sovling this equation. $$y'=\sin(y-x-1)$$ I know I have to use change of variables e.g. $z=y-x-1$ and $z'=y'-1$ but t...
Apr 15, 2026
general
Integrating a function from negative infinity to infinity
i got this weird question about integration from infinity to infinity. $$\int_{-\infty}^{\infty} \frac{1}{z^2+25}$$ First idea was to take the factor out ...
Apr 15, 2026
general
Find the eccentricity of a conic
Find the eccentricity $e$ of the conic $$S \equiv 39x^2+11y^2-96xy+14x+2y-34=0.$$ My try: Comparing with general second degree conic $$ax^2+2hxy+by^2+2gx+...
Apr 15, 2026
![Best Maths Books for Non-Mathematicians [closed]](https://news.conceivablytech.com/uploads/best-maths-books-for-non-mathematicians-closed_720.jpg)
general
Best Maths Books for Non-Mathematicians [closed]
I'm not a real Mathematician, just an enthusiast. I'm often in the situation where I want to learn some interesting Maths through a good book, b...
Apr 15, 2026
general
Examples of non-ideals
For a subgroup $(I,+)$ of additive group part of ring $(R,+,•)$ to be an Ideal we need $a•I$ and $I•a$ to be subset of $I$ for all $a$ in $R$. The exercis...
Apr 15, 2026
general
Determine the arc length of the following parametric curve
Determine the arc length of the parametric curve given by the following parametric equation: $φ(t)= (\sqrt{t}, t+1, t)$ $t\in[10,20]$ In order to do this ...
Apr 15, 2026
general
What is difference between free and faithful group action?
I searched Wikipedia for definitions of free and faithful actions. As I understand them, the two concepts are the same thing! If they are one concept, wha...
Apr 15, 2026
![How to derive the likelihood and loglikelihood of the poisson distribution [closed]](https://news.conceivablytech.com/uploads/how-to-derive-the-likelihood-and-loglikelihood-of-the-poisson-distribution-closed_720.jpg)
general
How to derive the likelihood and loglikelihood of the poisson distribution [closed]
As the title suggests, I'm really struggling to derive the likelihood function of the poisson distribution (mostly down to the fact I'm having a...
Apr 15, 2026
