Integrate the following :
[tex] log_{ \cos(x) }(sinx) [/tex]
heyy I'm back after 3 yrs neary!!
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Integrate the following :
[tex] log_{ \cos(x) }(sinx) [/tex]
heyy I'm back after 3 yrs neary!!
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[tex]∫log(cosx).sinx \\ \\ = log(cosx)∫sinx \: (cosx) \\ \\ = log(cosx)(cosx)∫ \frac{1}{sinx} \\ \times sinx) \\ \\ = cos \: x(log \: sinx)∫ - sinx \\ \times x \\ \\ =cos \: x. \: log \: (sinx) - sinx \\ \\ = cosx∫log(sinx - 1)[/tex]