AP Calculus ABeasymcq1 pt

Which expression is the right Riemann sum for 04f(x)dx\int_0^4 f(x)\,dx using n=4n=4 subintervals of equal width?

A.i=14f(i)\sum_{i=1}^{4} f(i)
B.i=14f(i1)\sum_{i=1}^{4} f(i-1)
C.i=03f(i)\sum_{i=0}^{3} f(i)
D.14i=14f(i)\frac{1}{4}\sum_{i=1}^{4} f(i)

Explanation

Core Concept

With Δx=1\Delta x=1, the right endpoints are x=1,2,3,4x=1,2,3,4, giving i=14f(i)\sum_{i=1}^4 f(i).

Correct Answer

Ai=14f(i)\sum_{i=1}^{4} f(i)

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