[" If "f(x)=max{x^(2),(1-x)^(2),(3)/(4)},x in[0,1]" ,then the value of "],[int_(0)^(1)f(x)dx]

If f(x)=max{x^(2),(1-x)^(2),(3)/(4)},x in[0,1] then the value of of int_(0)^(1)f(x)dx is

f(0)=1 , f(2)=e^2 , f'(x)=f'(2-x) , then find the value of int_0^(2)f(x)dx

A function f is defined by f(x)=(1)/(2^(r-1)),(1)/(2^(r))

If f(x)=int(3x^(2)+1)/((x^(2)-1)^(3))dx and f(0)=0, then the value of (2)/(f(2))| is

If for non zero x , 3f(x)+4f((1)/(x))=(1)/(x)-10 , then the value of int_(2)^(3)f(x)dx is

If for non zero x , 3f(x)+4f((1)/(x))=(1)/(x)-10 , then the value of int_(2)^(3)f(x)dx is

Let f(x) be a continous function on R. If int_(0)^(1)[f(x)-f(2x)]dx=5 and int_(0)^(2)[f(x)-f(4x)]dx=10 then the value of int_(0)^(1)[f(x)-f(8x)]dx=

Let f(x) = " max " {3,x^(2),(1)/(x^(2))} for (1)/(2) le x le 2 . Then the value of integral int_(1//2)^(2)f(x) dx is

If f(x)=int(dx)/((1+x^2)^ (3/2) and f(0)=0 then what is the value of f(1)?