7.2 - Area Between Two Curves
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Practice Questions
Test your understanding with targeted questions
What is the first step when calculating the area between two curves?
💡 Hint: Think about how drawing can help you identify the shapes.
How do you find the intersection points of the curves y = x and y = x^3?
💡 Hint: What happens at x = 0?
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula to calculate the area between two curves?
💡 Hint: Think of how you would measure height.
True or False: The area can be negative if the lower curve is subtracted from the upper curve.
💡 Hint: Reflect on the meaning of area in geometry.
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Challenge Problems
Push your limits with advanced challenges
Calculate the area between the curves y = sin(x) and y = cos(x) from x = 0 to x = π/2.
💡 Hint: Break down the interval where each function dominates.
Find the area between the curves y = e^x and y = e^(-x) from x = -1 to x = 1.
💡 Hint: Think about how you apply limits to evaluate the definite integral.
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