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Question: \(\int_{n}^{n + 1}{f(x)dx}\) = n<sup>2</sup> + 1 " n Ī Z then \(\int_{–2}^{3}{f(x)dx}\) =...

∫nn+1f(x)dx\int_{n}^{n + 1}{f(x)dx} = n2 + 1 " n Ī Z then ∫–23f(x)dx\int_{–2}^{3}{f(x)dx} =

A

10

B

13

C

15

D

18

Answer

15

Explanation

Solution

I = ∫–2–1f(x)dx+∫–10f(x)dx+∫01f(x)dx+\int_{–2}^{–1}{f(x)dx} + \int_{–1}^{0}{f(x)dx} + \int_{0}^{1}{f(x)}dx +

∫12f(x)dx+∫23f(x)dx\int_{1}^{2}{f(x)dx} + \int_{2}^{3}{f(x)dx}