New user? Sign up

Existing user? Log in

\[\large\int^{\pi}_{0}\frac{dx}{\sqrt{3+\cos x}}=\frac 1{a}B\left(\frac1b,\frac1c\right)\]

where \(a>0\) and \(b,c\in\mathbb N\). Find ...

\[\large I_n = \int_0^{\pi/2}{\dfrac{\sin((2n + 1)x)}{\sin(x)} dx}\]

For \(I_n\) as defined above, find the value of \(\displaystyle \lim_{n \to \infty}{2I_n}\).

Please see the following question \(\rightarrow\) link I have solved the first part, but instead of a positive sign, I get a negative one. This is due to that they ...

The case is of water sploshing in a tub. The simplest motion to some approximation is the one in which water surface remains flat (Assume no turbulence). A similar phenomenon ...

How many of the following 8 shapes can be created by taking a cross section of a cube?

A cross section is the resulting shape that's on the surface ...

Problem Loading...

Note Loading...

Set Loading...