How to integrate ∫sin^4(x)cos^2(x)dx - even powers

Integrals of the product of the powers of sine and cosine come in 4 permutations: 1. The powers m and n are both even 2. The powers m and n are even and odd respectively 3. The powers m and n are odd and even respectively 4. The powers m and n are both odd In this video, we explore case 1 where both powers are even. In this case, our aim is to reduce the powers to the first power of cosine, so that we have... sin^m(x)*cos^n(x) = A B*cos(2x) C*cos(4x) D*cos(6x) ... We can get the integrand into this form using the power reducing half-angle formulas and the product-to-sum formulas. We look specifically at the example of the integral of sin^4(x)*cos^2(x). Video links: 1. Product to Sum Formulas: Thanks for watching. Please give me a “thumbs up“ if you have found this video helpful. Please ask me a maths question by commenting below and I will try to help you in future videos. I would really ap