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

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

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

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

(i) int (e^x dx)/(e^x (e^x-1)) (ii) int e^x/((1+e^x)(2+e^x)) dx (iii) int e^x/((e^x-1)^2(e^x+2)) dx

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

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

Evaluate: (i) int xe^(x)^^2dx (ii) int(e^(2x))/(1+e^(x))dx