If `f(x) = int(5x^(8)+7x^(6))/((x^(2)+1+2x^(7))^(2))dx, (x ge 0)`, and f(0) = 0, then the value of f(1) is

If f(x)=int(5x^(8)+7x^(6))/((x^(2)+1+2x^(7))^(2))dx , and f(0)=0 , then the value of f(1) is a) -1//2 b) 1//4 c) 1//2 d) -1//4

If f(x)=int(5x^8+7x^6)/((x^2+1+2x^7)^2)dx, (xge0), f(0)=0 and f(1)=1/K , then the value of K is _______ .

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 f(x)=inte^(x)(tan^(-1)x+(2x)/((1+x^(2))^(2)))dx,f(0)=0 then the value of f(1) is

If f(x)=inte^(x)(tan^(-1)x+(2x)/((1+x^(2))^(2)))dx,f(0)=0 then the value of f(1) is

If f(x)=inte^(x)(tan^(-1)x+(2x)/((1+x^(2))^(2)))dx,f(0)=0 then the value of f(1) is

If f'(x)=f(x)+ int_(0)^(1)f(x)dx , given f(0)=1 , then the value of f(log_(e)2) is

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 f(x) = int (x^(2)+sin^(2)x)/(1+x^(2)) sec^(2)x dx and f(0) = 0, then f(1) =

If f'(x)=f(x)+int_(0)^(1)f(x)dx ,given f(0)=1 , then the value of f(log_(e)2) is