`Iff(x)=int_1^x(logt)/(1+t+t^2)dxAAxlt=1,t h e np rov et h a tf(x)f(1/x)dot`

If f(x)=int_(1)^(x)(logt)(1+t+t^(2))dt AAxge1 , then prove that f(x)=f(1/x) .

If f(x)=int_(1)^(x)(ln t)/(1+t)dt, then

If f(x)=int_(1)^(x)(logt)/(1+t+t^(2)) , AAx ge 1 , then f(2) is equal to

If f(x)=int_(1)^(x) (log t)/(1+t) dt"then" f(x)+f((1)/(x)) is equal to

f(x)=int_1^x lnt/(1+t) dt , f(e)+f(1/e)=

For x>0, let f(x)=int_(1)^(x)(log t)/(1+t)dt. Find the function f(x)+f((1)/(x)) and find the value of f(e)+f((1)/(e))

For x>0, let f(x)=int_(1)^(x)(log_(t)t)/(1+t)dt. Find the function f(x)+f((1)/(x)) and show that f(e)+f((1)/(e))=(1)/(2)

If f(x)=int_(0)^(x)tf(t)dt+2, then

Let f(x)=int_1^x(3^t)/(1+t^2)dx ,w h e r e x > 0. Then (a)for 0