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[itex]\int_{0}^{1}\left(\sin{2x}*\cos{2x}\right)dx[/itex]

Using the double angle forumla we change the integrand

[itex](1/2)\int_{0}^{1}\left(2*\sin{2x}*\cos{2x}\right)dx[/itex]

which converts to

[itex](1/2)\int_{0}^{1}\left(\sin{4x}\right)dx[/itex]

This is where I run into trouble... I'm trying to use the formula

[itex]\int\left(\sin{bx}\right)dx = (1/-b)\cos{bx}[/itex]

but my answers are not working. I'm thinking that it has something to do with the fact this is a deffinite integral... any help?

Thx