# Homework Help: Difficult integration

1. Feb 6, 2008

### ookt2c

1. The problem statement, all variables and given/known data
How do you integrate sin^4(2x) with out the reduction formulas. seems impossible

2. Relevant equations

i think you have to use integration by parts?

3. The attempt at a solution

Last edited: Feb 6, 2008
2. Feb 6, 2008

### Mystic998

I don't think you can. At least, not without essentially deriving the reduction formulas in the process (assuming you're referring to reduction formulas of Ssin^m(x) cos^j(x))

3. Feb 6, 2008

### sutupidmath

expressing sin^4(2x)=(sin^2(2x))^2=(1-cos^2(4x))/2, and then do the same for cos^2(4x)=(1+cos(8x))/2
i do not see why this would be impossible?????

4. Feb 7, 2008

### HallsofIvy

The original post said "without the reduction formulas". I doubt there is any and don't really see why one would care.

5. Feb 7, 2008

### sutupidmath

Oh, sorry, i did not know that these are called "reduction formulas", my bad!