Use the following property of the definite integral to estimate the definite integral : If on [a, b], then

Question

Use the following property of the definite integral to estimate the definite integral  : If  on [a, b], then

Quizplus · Accepted Answer

Using the given property, we can estimate the value of the definite integral as follows:

∫[a,b] f(x) dx ≈ (b-a) f(a)

Substituting the values given in the problem, we get:

∫[5,7] 3x^2 + 2x dx ≈ (7-5) (3(5)^2 + 2(5))

Simplifying the expression on the right-hand side, we get:

∫[5,7] 3x^2 + 2x dx ≈ 40

Therefore, the answer is C, 40.

Use the Following Property of the Definite Integral to Estimate