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Subjects / LC Mathematics / Functions and Calculus

Area under a curve and average value

Use definite integrals to find areas bounded by curves and the x-axis and the average value of a function.

5th Year6th Year Higher
Helps to know first: Integration
15practice questions

Multiple choice: 3 · Numeric answer: 9 · Put in order: 1 · Written answer (self/teacher assessed): 2

Each question has up to three hints, a worked explanation, and is tracked in your progress and review plan.

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Numeric answerPaper 1 – Functions and Calculus
Find the area between the curve y = x², the x-axis and the line x = 7, for x from 0 to 7. Give your answer as a fraction or decimal.
Whole numbers, decimals (2.5) or fractions (3/4).
Hint 1

Area = ∫ from 0 to 7 of x² dx.

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