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int(adx)/(b+ce^(x))...

int(adx)/(b+ce^(x))

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int(a)/(b+ce^(x))dx=

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int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx. Hence evaluate : int_(a)^(b)(f(x))/(f(x)+f(a+b-x))dx.