AP Calculus ABmediummcq1 pt

Which of the following is the trapezoidal approximation of 02x3dx\int_0^2 x^3\,dx with n=4n=4 subintervals of equal width?

A.4.254.25
B.44
C.2.252.25
D.6.256.25

Explanation

Core Concept

With Δx=0.5\Delta x=0.5, the sum is 0.25(0+2(0.125)+2(1)+2(3.375)+8)=0.25(17)=4.250.25(0+2(0.125)+2(1)+2(3.375)+8)=0.25(17)=4.25.

Correct Answer

A4.254.25

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