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:.int(dx(1))/(e^(x)sqrt(2e^(x)-1))...

:.int(dx_(1))/(e^(x)sqrt(2e^(x)-1))

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int(dx)/(sqrt(e^(x)-1))

int(dx)/(sqrt(2e^(x)-1))=

int(dx)/(sqrt(2e^(x)-1))=

int(e^(x))/(sqrt(e^(2x)-1))dx=

int(dx)/(sqrt(e^(2x)-1))=

int sqrt(e^(x)-1)dx

int(e^(x))/((1+e^(x))(2+e^(x)))dx

int (dx)/(sqrt(2e^(x)-1))=2 sec^(-1)(sqrt(2)e^((x)/(2)))+c

int (e^(x))/((e^(x)+2)(e^(x)-1))dx=