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Câu hỏi

Find the area between the two curves y=2x and y=x^2-15 from x=-3 to x=3 The area between the curves is square fType an integer or a fraction.)

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Giải pháp

4.1 (234 Votes)
Jaunita Cannon Master · Tutor for 5 years

Answer

72

Explanation

1. Identify Intersection Points Set . Solve using the quadratic formula: , where , , . This gives and .2. Determine Integration Limits The limits are from to as given in the problem.3. Setup Integral for Area The area is .4. Integrate Compute .5. Evaluate Definite Integral Evaluate from to : At : . At : . Subtract: .