Definite Integral limit problems

vendredi 29 novembre 2013

[tex] \int_0^{2\pi} \frac{1}{25cos^2(t) + 9sin^2(t)}dt [/tex]



Substituted the variables twice and got the upper and lower boundaries to both be 0 (think i might have gone wrong there) [tex] \frac{1}{15} tan^{-1} \frac{3tan(t)}{5} [/tex] with upper and lower boundaries both being 0. I know the answer is [itex] 2\pi/15 [/itex] but I am not getting that answer, would it be my limits that are incorrect here?






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