grandes-ecoles 2024 Q3.6

grandes-ecoles · France · x-ens-maths-c__mp Integration by Parts Establish an Integral Identity or Representation

Prove that $$\int _ { 0 } ^ { + \infty } \frac { \sin ( x ) } { x } d x = \frac { \pi } { 2 }$$

Prove that
$$\int _ { 0 } ^ { + \infty } \frac { \sin ( x ) } { x } d x = \frac { \pi } { 2 }$$