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" 8."int e^(x)(1-sin x)/(1-cos x)dx...

" 8."int e^(x)(1-sin x)/(1-cos x)dx

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int(sin x)/(1-cos x)dx

int(sin x)/(1+cos x)dx

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int(e^(x)-sin x)/(cos x+e^(x))dx

If int e^(x)[(cos x-sin x)/(1-cos 2x)]dx =

int(dx)/(1-sin x-cos x)=

int(dx)/(1-sin x-cos x)=

int(1-sin x+cos x)dx

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int(dx)/(1-sin x+cos x)