d〔∫下限a,上限b cos^2 dx〕=?怎么算,

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d〔∫下限a,上限bcos^2dx〕=?怎么算,d〔∫下限a,上限bcos^2dx〕=?怎么算,d〔∫下限a,上限bcos^2dx〕=?怎么算,∫(a~b)cos²xdx=(1/2)∫(1+

d〔∫下限a,上限b cos^2 dx〕=?怎么算,
d〔∫下限a,上限b cos^2 dx〕=?怎么算,

d〔∫下限a,上限b cos^2 dx〕=?怎么算,
∫(a~b) cos²x dx
= (1/2)∫ (1 + cos2x) dx
= (1/2)(x + 1/2 * sin2x) |(a~b)
= (1/2)(b + 1/2 * sin2b) - (1/2)(a + 1/2 * sin2a)
= (1/2)b + (1/2)sinbcosb - (1/2)a - (1/2)sinacosa
= (1/2)(b - a) + (1/2)(sinbcosb - sinacosa)