Вычислить определенный интеграл:
[tex] \int\limits^ \frac{ \pi }{3} _ \frac{ \pi }{2} { \frac{sintdt}{1-cost} \ [/tex]
[tex] \int\limits^ \frac{ \pi }{3} _ \frac{ \pi }{2} { \frac{sintdt}{1-cost} \ [/tex]
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Verified answer
Замена 1 - cos t = x; dx = sin t dt; x(pi/2) = 1; x(pi/3) = 1/2