`ln e^(2ln e^(2ln e^(2)))` equals

ln e ^ (2ln e ^ (2) ln e ^ (2)) equals

What if int e^((2ln x + ln x^2))dx equal to ?

If ln(ln x-ln y)=e^(x^(2)y)(1-ln x) , then y'(e) equals

int _( log 1//2 ) ^( log 2) sin { (e ^(x) -1)/( e ^(x ) +1 )}dx equals

[[log e, log e ^ (2), log e ^ (3) log e ^ (2), log e ^ (3), log e ^ (4) log e ^ (3), log e ^ (4) ), log e ^ (5)]]

The value of int (e^(6 log x) - e^(5 log x))/(e^(4 log x) - e^(3 log x))dx is equal to

int _(log pi - log 2 ) ^(log pi) (e ^(x))/(1- cos ((2)/(3)e ^(x)))dx is equal to

int(1)/(x){log e^(ex)*log e^(e^(2)x)*log e^(e^(3)x)}dx