The Dirichlet Integral is destroyed by Feynman’s Trick

Get MAPLE LEARN (completely for free) to start making interactive math documents that solve your equations here: ► My thanks to Maple Learn for sponsoring today’s video! The Dirichlet integral (integral from 0 to infinity of the sin(x)/x also know as the sinc function), is typically not taught in first year calculus courses. But the trick to solve it is actually pretty easy! In this video I show how we can use Feynman’s Trick to make it a big messier by including a new exponential factor, but by differentiating under the integral sign the messy x in the denominator gets cleaned right up. ...I mentioned in the video that this was just the Laplace transform, check out my Laplace transform playlist here ►LAPLACE TRANSFORM: Check out my MATH MERCH line in collaboration with Beautiful Equations ► COURSE PLAYLISTS: ►DISCRETE MATH: ►LINEAR ALGEBRA: ►CALCULUS I: ► CALCULUS II: ►MULTIVARIABLE CALCULUS (Calc III): ►VECTOR CALCULUS (Calc IV) ►DIFFERENTIAL EQUATIONS: ►LAPLACE TRANSFORM: ►GAME THEORY: OTHER PLAYLISTS: ► Learning Math Series ►Cool Math Series: BECOME A MEMBER: ►Join: MATH BOOKS I LOVE (affilliate link): ► SOCIALS: ►Twitter (math based): ►Instagram (photography based):

Show more