I was wondering if the answer to this question is 0.125?

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>>292418
No. Had it gone until pi/4, then yes it would have been the upper portion of the curve minus the portion under the x-axis.

Plug in sin(4x) * cos(4x) into wolframalpha.com and you'll see its the integral of the first "bump of the curve from the origin until the value is zero again at pi/8. I don't know what the area under that portion is and it's been a long time since I did integrals.

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Damn I was hoping, I can't use wolfram very well... but this is what I got.

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Kind of confused as to what you want, original pic and second pic on paper have different integrals.
But here are my tries. Also in the second pic how do you get from the the result to the very last line? It doesn't seem right.
Sorry if the lic is shitty

>>292426
you're integrating a different function here
is it cos4xsin4x or cos4xsin(sin4x)?

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>>292418

>>292496
Just use the paranthesis everywhere, makes much more sense

cos(4x)*sin(sin(4x))

see?