The value of the integral `int_0^oo(xlogx)/((1+x^2)^2)dx ` (a) 0 (b) log 7 (c) 5 log 13 (d) none of these

The value of the integral int_0^oo(xlogx)/((1+x^2)^2)dx ,is (a)0 (b) log 7 (c) 5 log 13 (d) none of these

The value of integral int_(0)^(1)(log(1+x))/(1+x^(2))dx , is

The value of the integral int_(-1)^(1)log(x+sqrt(x^(2)+1))dx is

The value of the integral int_(0)^(2) (log(x^(2)+2))/((x+2)^(2)) , dx is

The value of the integral int_0^(log5)(e^xsqrt(e^x-1))/(e^x+3)dx

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

lim_(x -> oo)(x(log(x)^3)/(1+x+x^2)) equals 0 (b) -1 (c) 1 (d) none of these

The value of the integral int_(0)^(pi//2)log |tan x cot x |dx is

The value of the integral int_(-1//2)^(1//2) cos x log((1+x)/(1-x))dx , is

The value of the integral int_0^1e^x^2_dx lies in the interval (a) (0,1) (b) (-1,0) (c) (1, e) (d) none of these