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I am volunteering as the teaching assistant of a MOOC in Introduction to Programming in Haskell. I'd be glad to see members from the Brilliant community join.

How do i calculate

\(\int { { \left( 1-{ x }^{ m } \right) }^{ \frac { 1 }{ n } }{ \left( 1-{ x }^{ n } \right) }^{ \frac { 1 }{ m } }dx }\)

For Positive Integers m and n.

P.S ...

This is an experiment to demonstrate logistic differential equations... Haha.

The decimal representation of the fraction \(\frac { 1 }{ 998001 } \) has a very interesting regularity, as shown below:

...

Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:

\(1634 = 1^{4} + 6^{4} + 3^{4} + 4^{4}\)

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