JEE (Advanced) 2019 Paper-2 Question 43

Question 43

Let $$f : R \rightarrow R$$ be given by $$f(x) = (x - 1)(x - 2)(x - 5).$$ Define
$$F(x) = \int_{0}^{x} f(t) dt, x > 0.$$
Then which of the following options is/are correct?

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