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?

Let f(x) = x3 + 15x2 - 33x - 36 be a real-valued function. Which of the following statements is/are TRUE?