How can I integrate square root(a^2*sin^2(t)+ b^2*cos^2(t)) dt

Question

goformit100 · Answer

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anonymous · Answer

i will give you a crucial hint, as this answer will be a bit lengthy for me to explain.
1.I hope you the double angle formula, 2sin^2(x)  = 1 - cos(2x) and 2cos^2(x)  = 1 + cos(2x)
2. Now figure out how you can reduce the resultant equation by some sin(A+B) or cos(A+B) equation. And it's very easy, and i must say its an art.

anonymous · Answer

Thank you I think I can solve it now but I have no paper I'm going to do it shortly and then ill give you the medal when I get it :) it is most definitely an art