вычислить интеграл [tex] \int\limits^ \pi _0 {cos^{2}x } \, dx [/tex]. Created by kristi82. matematika-ru

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вычислить интеграл
[tex] \int\limits^ \pi _0 {cos^{2}x } \, dx [/tex]

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wangross $\int\limits^ \pi _ 0 {cos^2x} \, dx = \frac{1+cos2x}{2} |_0^ \pi = \frac{1+cos2 \pi }{2} - \frac{1+cos0}{2} = \frac{1+1}{2} - \frac{1+1}{2} =1-1=0$

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