Practice — Integration and Accumulation of Change

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Calc AB
U6
Item 4

Multiple choice·Standard multi-step (3/5)·No calculatorNeeds mentor review

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

For a midpoint Riemann sum for

\int_0^4 f(x)\,dx

with

8

subintervals, which expression gives the

i

th midpoint?

Choose an answer

\frac{i}{2}

\frac{i-1}{2}

4+\frac{i}{8}

\frac{i-\frac12}{2}

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calc-ab.u6.t6-3.mc.004

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