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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the area under the curve y = 3x from x = 0 to x = 2.
💡 Hint: Use the power rule for integration.
Question 2
Easy
Calculate the area between y = 2x and y = x^2 from x = 0 to x = 2.
💡 Hint: Find intersection points if any before integrating.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the definite integral measure?
- Only area under the curve
- Net area under the curve
- Perimeter
💡 Hint: Think about the area it calculates.
Question 2
True or False: The area between two curves can be negative.
- True
- False
💡 Hint: Consider the definition of area.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
Determine the area between y = ln(x) and y = 1 from x = e to x = e^2.
💡 Hint: Identify the integration limits accurately.
Challenge and get performance evaluation