The integral of sin(x)/x from 0 to inf by using Feynman's technique (aka differentiation under the integral sign). This integral is also called the Dirichlet integral. Check out another example of Feynman's technique of integration:    • Feynman's Technique of Integration  
Zachary's page: https://philosophicalmath.wordpress.com/ ,

integral of sin(x)*e^(bx),    • The appetizer, integral of sin(x)*e^(...  
Another example, Integral of ln(x^2+1)/(x+1) from 0 to 1 by Mu Prime Math,    • It took me 3 hours to do this integral!  

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