7.4 - Area in Terms of y-axis
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Practice Questions
Test your understanding with targeted questions
Find the area between the line y = 2 and the curve y = x².
💡 Hint: Remember to square y when finding the area under the curve.
Calculate the area between the curves x = y³ and x = 1.
💡 Hint: Estimate the integral values to find the exact area.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for finding the area in terms of the y-axis?
💡 Hint: Think about how the integrations are adjusted according to the axis in question.
Is A = ∫ from y=c to y=d f(y) dy applicable for determining area under curves?
💡 Hint: Recall that integration requires limits.
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Challenge Problems
Push your limits with advanced challenges
Find the area between the curves y = e^y and y = y² from y = 0 to y = 2.
💡 Hint: Consider the shape formed by the curves to accurately decide the integration order.
Determine the area under the curve defined as x = y³ from y = 1 to y = 3.
💡 Hint: Sketch the area for better visualization.
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