Integrate $\sin x/(1+\sin x)$, how to?
How can I integrate $\displaystyle\int{\dfrac{\sin x}{1+\sin x}}dx$? I have already tried by applying different trigonometric results.
Apr 13, 2026 1 VIEWS
Topic: General
5104 Articles 
Tangent to $e^x$
I have been asked to find the tangent to $y=e^x$ that passes through origin. This is what i came up with. Tangent $f(x)=e^x(x-a)+f(a)$, where a is zero, I...
Apr 13, 2026 1 VIEWS
If sum of triangle angles is $180$ degrees, how $\sin(270)$ is possible?
I'm not new to trigonometry, but this question always bothers me. As it is in Wolfram MathWorld- $$ \sin(\theta)=\frac{\text{opposite}}{\text{hypoten...
Apr 13, 2026 1 VIEWS
Interesting pattern arises when plotting prime numbers on a Cartesian plane
While plotting prime numbers out of boredom one day, I stumbled upon an interesting pattern which may be expressed as such: Let $\mathbb{N}$ be the set of...
Apr 13, 2026 1 VIEWS
How is "point" in geometry undefined? And What is a "mathematical definition"? [duplicate]
How is "point" in geometry undefined? I mean, when we say "A point in geometry is a location. It has no size, i.e., no width, no length, and no depth," is...
Apr 13, 2026 2 VIEWS
Proving $3^n>n^2$ by induction [duplicate]
Prove that $3^n>n^2$ for any positive integer n>2 Let $n=1$ $$3^1>1^2$$ Let $n=2$ $$3^2>2^2$$ Assume P holds for n=k $$3^k>k^2$$ Let $n=k+1$ $...
Apr 13, 2026 1 VIEWS
What are the basic properties of a toroidal prism?
A triangular prism has a rectangular footprint and triangular roof. If the cross section is an equilateral triangle, and you know the footprint length x w...
Apr 13, 2026 1 VIEWS
Is this a Hurwitz matrix?
I have the following block matrix $$J = \begin{bmatrix}A & B \\ C &D\end{bmatrix}$$ where $A, B, C, D$ are $2 \times 2$ matrices and 1.$A$ is Hurw...
Apr 13, 2026 1 VIEWS
Prove Parseval for the Fourier transform
Can you please show me how to prove $$\int_{-\infty}^\infty f(x)^2 dx = \frac{1}{2 \pi} \int_{-\infty}^\infty [Ff(x)]^2 dx$$ where $Ff(t) = \displaystyle\...
Apr 13, 2026 1 VIEWS
line integral magnetic induction
Need help with this line integral problem. I've been stuck on this problem for a while any help will be much appreciated. Problem: Experiments show t...
Apr 13, 2026 1 VIEWS
what does "solve the equation for x" mean?
I'm not expert for the mathematics, and familiar with this. But when I learn the math in high school, I've got the sort of the below equation th...
Apr 13, 2026 1 VIEWS
Surface integral of circle
i want to calculate the surface of this function: $x^2+y^2=9$ ; $z=0$ for $x\ge0, y\ge0, z\ge0$ and this vektor field: $F=(-y, x, z)$. I have chosen this ...
Apr 13, 2026 1 VIEWS