Question

How do you do this question?

Answer 1

True

Explanation:

∫₀°° f(x) dx = ∫₀¹ f(x) dx + ∫₁°° f(x) dx

We know that ∫₁°° f(x) dx converges, and we know that f(x) is continuous on [0, 1], inclusive. Therefore, ∫₀¹ f(x) dx converges, so ∫₀°° f(x) dx converges.