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The derivative of y with respect to x is given as dy/dx = 3x² - 4x + 1. After integration, y becomes x³ - 2x² + x + B. If y equals 5 when x is 1, what is the value of B?

1. 5
2. 6
3. 7
4. 8

Correct answer: 5

Solution

At x=1: 1 - 2 + 1 + B = B, and y=5 gives B=5. The correct option is index 0 (5); the stored choice 7 is wrong.

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