10 Need Help? TO F210 Fa D Read It Video Example DETAILS PREVIOUS ANGWEDS EXAMPLE 2 Since f(x) = 1 + x² is continuous on
Posted: Wed Jul 06, 2022 1:27 pm
10 Need Help? TO F210 Fa D Read It Video Example DETAILS PREVIOUS ANGWEDS EXAMPLE 2 Since f(x) = 1 + x² is continuous on the interval [−2, 4], the Mean Value Theorem for Integrals says there is a number c in [-2, 4] such that 4 [² (1+x²) *(1 + x²) dx = f(c)[4 - (-2)]. ave In this particular case we can find c explicitly. Using this example, we find that f = 5. f(c) = fave Therefore SO 1+ c² = c² So in this case there happen to be two numbers c = ± 2 in the interval [-2, 4] that work in the Mean Value Theorem for Integrals. SCALCETOU 74.004 ER 5, so the value of c satisfies MY NOTES ASK YOUR TEACHER DRACTICE ANOTHER