Use the Midpoint Rule to approximate the given integral with the specified value of n .(Round your answers to four decimal places.)

Question

Quizplus · Accepted Answer

The Midpoint Rule for approximating an integral is given by:
$\int_a^bf(x)dx\approx(b-a)f\left(\dfrac{a+b}{2}\right)$
In this case, we have:
$\int_0^2\sqrt{1+x^2}dx\approx(2-0)\sqrt{1+(0.5)^2}=2\sqrt{1.25}\approx 2.2361$
The closest option is D) 11eaae29_f4d7_63e6_87fe_41ee976000c1_TB2067_11, which is equal to 2.2361. Therefore, D is the best choice.

Use the Midpoint Rule to Approximate the Given Integral with the Specified