The Weierstrass Substitition! Substituting t=tan(x/2) for Solving Integrals! | Math with Professor V

In this video I'll show you how to use the substitution t=tan(x/2) in order to evaluate certain integrals. This integration technique is credited to German mathematician Karl Weierstrass (1815-1897) who noticed that the substitution t=tan(x/2) will convert any rational function of sinx and cosx into an ordinary rational function of t.

I'll derive the formulas for cos(x/2), sin(x/2), and dx based on this substitution and then solve 2 integrals using this technique.

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