Let f : [–3, 1] → R be given as f(x) {min((x + 6), x^2), (-3 ≤ x ≤ 0) max(√x + x^2), 0 ≤ x ≤ 1).

Question

Let f : [–3, 1] → R be given as

\(f(x) = \begin{cases} min\{(x+6),x^2\}, & -3\leq x \leq 0\\ max\{\sqrt{x},x^2\}, & 0\leq x \leq 1. \end{cases}\)

If the area bounded by y = f(x) and x-axis is A, then the value of 6A is equal to ______.

Answer 1

Answer is (41)

area bounded by y = f(x) and x-axis