Question

Why is the answer A?

Answer 1

Step-by-step explanation:

F(x) is the antiderivative (or integral) of f(x).

F(x) = ∫ f(x) dx

F(x) = sin(1/(x² + 1))

∫₁² f(x) dx

= F(2) − F(1)

= sin(1/(2² + 1)) − sin(1/(1² + 1))

= sin(⅕) − sin(½)

= -0.281