Let f : [0, 1] → [0, ∞] be a continuous function such that ∫ f(x) x ∈[0, 1] dx = 10 .

Question 1

Let f : [0, 1] → [0, ∞] be a continuous function such that ∫ f(x) x ∈[0, 1] dx = 10 . Which of the following statements is NOT necessarily true?

Question 2

Correct option (D)

Explanation:

∴ f(x) ≥ 0

because (f(x))2 can take very high values then area bounded by (f(x))2 , x-axis & x = 0 to 1 may cross 100.

kratos · Answer 1 · 2021-03-09T13:05:20+0000

Correct option (D)

Explanation:

∴ f(x) ≥ 0

because (f(x))2 can take very high values then area bounded by (f(x))2 , x-axis & x = 0 to 1 may cross 100.

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