Question

Let f : [0, 2] $\rightarrow$ R be a function which is continuous on [0, 2] and is differentiable on (0, 2) with f(0) = 1. Let $F(x) = \int\limits^{x^2}_0 {f(\sqrt{t})} \, dt$ for x ∈ [0,2] . If F'(x) = f'(x) for all x ∈ (0,2) , then F(2) equals
(a) e² - 1
(b) e⁴ - 1
(c) e - 1
(d) e⁴

Answer 1

Answer:

Step-by-step explanation:

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