Consider the functions I. e-x II. x2 - sin x III. √x^3+1 Which of the above functions is/are increasing everywhere in [0, 1] ?

Let f(x) be a continuous function from R to R such that f(x) = 1 - f(2-x) Which one of the following options is the CORRECT value of ∫02f(x)dx?

The value of the definite integral ∫-33∫-22∫-11(4x2y - z3)dz dy dx (Rounded off to the nearest integer) is _______.