The value of `int_1^(e^(6)) [log x/3]dx` (where [.] denotes G.l.F) is `(e^(a)-e^(b))` then the value of `(a)/(b)` is

The value of integral int_(1)^(e) (log x)^(3)dx , is

The value of int_(1)^(e^(37))(pi sin(pi log x))/(x)dx is ………….

Write a value of int1/(1+e^x)\ dx

The value of int_(1//e )^(e )(|log x|)/(x^(2))dx , is

The value of int_(e)^(pi^(2))[log_(pi)x] d(log_(e)x) (where [.] denotes greatest integer function) is

Evaluate: int_1^(e^6)[(logx)/3]dx ,w h e r e[dot] denotes the greatest integer function.

Write a value of int(log)_e x\ dx

Write a value of int1/(1+2\ e^x)\ dx

If the value of definite integral int_1^a x*a^-[log_ a x]dx, where a >1 and [x] denotes the greatest integer, is, (e-1)/2 then the value of equal to

The value of int(x e^ln(sinx)-cosx)dx is equal to