4.7 - Python Code Example (Trapezoidal Rule)
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Practice Questions
Test your understanding with targeted questions
What does the trapezoidal rule approximate?
💡 Hint: Think of how this relates to shapes we know.
Define a function in Python that squares its input.
💡 Hint: What does x represent in programming?
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Interactive Quizzes
Quick quizzes to reinforce your learning
What type of shape does the trapezoidal rule use for approximation?
💡 Hint: Think about the name of the rule.
True or False: The trapezoidal rule can be used for functions with discontinuities.
💡 Hint: Consider how discontinuities might affect the shapes involved.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Using the trapezoidal rule, approximate the integral of f(x) = sin(x) from 0 to π using 10 intervals.
💡 Hint: Consider how the sine function behaves across this interval.
Create a Python function using the trapezoidal rule to approximate the integral of f(x) = e^x from 0 to 1 with 20 intervals. Discuss the results.
💡 Hint: Make sure to calculate the heights of the function correctly at intervals.
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