Find the area between y=x and y=x² on [0,1].
Generalize, analyze an edge case, or defend the result without relying on technology.
Unit 13 · Extended Pathway
Applications of Integration & Calculus Capstone
How can derivatives, integrals, and differential equations support a defensible analysis of a complex problem?
Khaemenes Academy · Calculus I
Extended Practice
Applications of Integration & Calculus Capstone · Show reasoning, notation, intervals, units, and corrections.
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Find the average value of f(x)=x on [0,4].
Generalize, analyze an edge case, or defend the result without relying on technology.
Find the area between y=x and y=x² on [0,1].
Generalize, analyze an edge case, or defend the result without relying on technology.
Why sketch before integrating?
Generalize, analyze an edge case, or defend the result without relying on technology.
Write a washer integral with outer radius R and inner radius r.
Generalize, analyze an edge case, or defend the result without relying on technology.
Why sketch before integrating?
Generalize, analyze an edge case, or defend the result without relying on technology.
Write a washer integral with outer radius R and inner radius r.
Generalize, analyze an edge case, or defend the result without relying on technology.
Why sketch before integrating?
Generalize, analyze an edge case, or defend the result without relying on technology.
List three required model elements.
Generalize, analyze an edge case, or defend the result without relying on technology.
What belongs in the oral defense?
Generalize, analyze an edge case, or defend the result without relying on technology.
Give one derivative-based analysis.
Generalize, analyze an edge case, or defend the result without relying on technology.
What belongs in the oral defense?
Generalize, analyze an edge case, or defend the result without relying on technology.