More fun in 2015, Part 19

Calculus Level 3

(1π0sin(x2015)xdx)1= ?\large \left(\frac{1}{\pi}\int_{0}^{\infty}\frac{\sin(x^{2015})}{{x}}dx\right)^{-1} = \ ?

P.S: It helps to use the Dirichlet Integral 0sinxxdx=π2.\displaystyle\int_{0}^{\infty}\frac{\sin{x}}{x}dx=\frac{\pi}{2}.

×

Problem Loading...

Note Loading...

Set Loading...