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let-I-0-pi-xdx-cos-2-x-2-sin-2-x-with-real-1-find-the-value-of-I-2-calculate-0-pi-xdx-a-2-cos-2-x-b-2-sin-2-x-with-a-and-b-reals-




Question Number 53285 by maxmathsup by imad last updated on 20/Jan/19
let I_λ  =∫_0 ^π    ((xdx)/(cos^2 x +λ^2 sin^2 x))  with λ real  1) find the value of I_λ   2) calculate ∫_0 ^π   ((xdx)/(a^2 cos^2 x +b^2 sin^2 x)) with a and b reals.
letIλ=0πxdxcos2x+λ2sin2xwithλreal1)findthevalueofIλ2)calculate0πxdxa2cos2x+b2sin2xwithaandbreals.

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