If `f(x)=int_(2)^(x)(dt)/(1+t^(4))` then

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

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

Let F(x) =int_(a)^(x^(2)) cos sqrt(t)dt Statement-1: F'(x)=cos x Statement-2: If f(x) =int_(a)^(x) phi(t) dt , then f'(x)= phi (x).

If f(x)=int_(0)^(x) log ((1-t)/(1+t)) dt , then discuss whether even or odd?

Let F(x) =f(x) +f((1)/(x)),"where" f(x)=int_(1)^(x) (log t)/(1+t) dt Then F (e) equals

Let f : R rarr R be defined as f(x) = int_(-1)^(e^(x)) (dt)/(1+t^(2)) + int_(1)^(e^(x))(dt)/(1+t^(2)) then

If f(x)=int_(0)^(1)(dt)/(1+|x-t|),x in R . The value of f'(1//2) is equal to

If f(x) =int_(0)^(x) sin^(4)t dt , then f(x+2pi) is equal to

Let f(x)=int_(1)^(x)(3^(t))/(1+t^(2))dt , where xgt0 , Then

Let f(x)=int_(0)^(x)(e^(t))/(t)dt(xgt0), then e^(-a)[f(x+1)-f(1+a)]=