Find the area of the region bounded by the curve y = x^2, the x-axis and the lines x = 1 and x = 3.
Answer and explanation
Correct answer: D. 26/3
- Step 1: Area = integral of x^2 from 1 to 3 = [x^3/3] from 1 to 3. Step 2. = 27/3 - 1/3 = 26/3. Answer: 26/3. Why not the others: 8: That is 3^2 - 1^2 without integrating. 9: That is the value of the integrand at x = 3. 26: That omits the division by 3.
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