The problem involves finding the indefinite integral of the function ∫ Cos32x Sin22x dx, which falls under the subject area of calculus, specifically integral calculus.
The discussion includes various approaches to tackle the integral, with some participants providing identities and substitutions that could be useful. There is no explicit consensus, but several lines of reasoning are being explored.
Participants note the absence of specific homework equations and the original poster's request for guidance on how to initiate the solution process.
Write cos3(2x) as cos(2x) cos2(2x)AryRezvani said:Homework Statement
Find the indefinite integral:
∫ Cos32x Sin22x dx
Homework Equations
None required
The Attempt at a Solution
Lost on where to start. If someone could just start me off.
SammyS said:Write cos3(2x) as cos(2x) cos2(2x)
Then use the identity,cos2(2x)=1-sin2(2x)After that, a simple substitution should work fine.