MathCastle
CalculusEasyNon-Elementary Integration

Non-Elementary Integration · Easy problem

The sine integral is Si⁡(x)=∫0xsin⁡tt dt\operatorname{Si}(x)=\displaystyle\int_0^{x}\dfrac{\sin t}{t}\,dt, a function with no elementary formula. Find Si⁡′ ⁣(π2)\operatorname{Si}'\!\left(\dfrac{\pi}{2}\right).