The value of `underset(0)overset(oo)int (logx)/(1+x^(2))dx`, is

int (log x)/(1+logx)^2 dx

int(logx-1)/(x)dx

int1/(x(1-logx)^(2))dx=

int(logx)/(x+1)^2dx=

Estimate the value of underset(0)overset(1)e^(x^(2))dx by using underset(0)overset(1)e^(x)dx .

Let [t] denote the greatest integer le t. Then the value of 8 underset(-1/2)overset(1)int [2x]+|x| dx is ____________

The value of underset((-pi)/(2))overset((pi)/(2))(int) (1)/(1 + e^(sin x)) dx is :