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oohh okay thankss... my approach was wrong i guess...I've solved this but the working is pretty lengthy.
Ill just tell you in short, you gotta break the 1/x^2(2x+1) into partial fractions, and then integrate. youre gonna get -2ln(x) -1/x + 2ln(2x+1)= lny +c
Then use (1,1) to find c. Then youre gonna get too many ln's. just put them together in a single ln function (divide the ones being subtracted, multiply the ones being added) and then cancel the ln from both sides. THEN, substitute 2 in x and youre gonna get 25e/36e^(1/2) = 25e^(1/2) / 36