Day 180: Applications to Real Integrals II — Branch Cuts and Special Techniques

Learning Objectives

• •Use keyhole contours for integrals with branch points
• •Evaluate integrals involving $x^\alpha$ for non-integer $\alpha$
• •Compute trigonometric integrals via complex methods
• •Derive the famous Dirichlet integral
• •Handle integrals with poles on the real axis
• •Connect to quantum mechanical propagators with branch cuts

Today's Schedule (7 hours)