Hard· Definite integrals and properties· +4 / −1Let fff be a real valued continuous function on [0,1][0,1][0,1] and f(x)=x+∫01(x−t)f(t) dtf(x)=x+\displaystyle\int_0^1(x-t)f(t)\,dtf(x)=x+∫01(x−t)f(t)dt. Then which of the following points (x,y)(x,y)(x,y) lies on the curve y=f(x)y=f(x)y=f(x) ?A(2,4)(2,4)(2,4)B(1,2)(1,2)(1,2)C(4,17)(4,17)(4,17)D(6,8)(6,8)(6,8)Check answerJust show me the answer