Math Archive (11)

Calculus Level 5

Given that

\(\displaystyle S = \int_{-1}^{1}\frac{x^{4}(1-x)^{4}}{1+x^{2}} \, dx, \quad \quad M = \int_{0}^{1}\frac{x^{6}}{1+x^{2}}\, dx \)

Find the value of \(\lfloor S-12M \rfloor \).

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

×

Problem Loading...

Note Loading...

Set Loading...