`int(dx)/(x*(lnx)(ln(lnx)).......(lnlnln...lnx)_(20\ "times")` is equal to

f(x)=x^(2)+lnx

dx/(x*(lnx)ln(lnx).............................(ln ln ln ln.........lnx) larr20 times is equal to (i) (log log log log ..............x)larr 20times +C (ii) (log log log log ..............x)larr 19times +C (iii) (log log log log ..............x)larr 21times +C (iv) (log log log log ..............x)larr 22times +C

int(lnx)^(-1)dx-int(lnx)^(-2) dx is equal to

int((lnx-1)/((lnx)^(2)+1))^2dx is equal to

If y=x^((lnx)^ln(lnx)) , then (dy)/(dx) is equal to

If y=x^((lnx)^ln(lnx)) , then (dy)/(dx) is equal to

If y=x^((lnx)^ln(lnx)) , then (dy)/(dx) is equal to

intx^(100x).(1+lnx)dx=