7.7 - Summary
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Practice Questions
Test your understanding with targeted questions
Find the area under the curve y = 3x from x = 0 to x = 2.
💡 Hint: Use the power rule for integration.
Calculate the area between y = 2x and y = x^2 from x = 0 to x = 2.
💡 Hint: Find intersection points if any before integrating.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the definite integral measure?
💡 Hint: Think about the area it calculates.
True or False: The area between two curves can be negative.
💡 Hint: Consider the definition of area.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Calculate the area of the region enclosed by the curve y = x^3 and the line y = 3x from x = -1 to x = 2.
💡 Hint: First, find the intersection points to set your limits.
Determine the area between y = ln(x) and y = 1 from x = e to x = e^2.
💡 Hint: Identify the integration limits accurately.
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Reference links
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