Easy As A Sum, So Why The Product?

Calculus Level 2

020(x{x}) dx= ? \displaystyle \int_{0}^{20} \Bigl(\lfloor x \rfloor \{x\} \Bigr) \ dx = \ ?

Details and assumptions:

  • Every xRx\in \mathbb{R} can be written as x=x+{x}x=\lfloor x \rfloor + \{x\} .

  • x\lfloor x \rfloor denotes greatest integer less than or equal to xx.

  • {x}\{x\} is the fractional part of xx.

×

Problem Loading...

Note Loading...

Set Loading...