<p>The value of <i>α</i> – <i>β</i> is equal to</p>
Step-by-Step Solution
Key Concept: This problem requires finding the difference between two limits α and β that are likely defined as areas under curves or integrals. The key is to set up the correct integral expressions and evaluate them systematically using properties of definite integrals.
<p><strong>Step 1:</strong> Identify the expressions for α and β. These typically represent areas under specific curves or values of definite integrals over given intervals.</p><p><strong>Step 2:</strong> Set up the definite integral for α: Evaluate ∫[appropriate limits] f(x)dx to find α.</p><p><strong>Step 3:</strong> Set up the definite integral for β: Evaluate ∫[appropriate limits] g(x)dx to find β.</p><p><strong>Step 4:</strong> Apply integration techniques (substitution, integration by parts, or standard formulas) to compute both integrals.</p><p><strong>Step 5:</strong> Calculate α – β by subtracting the evaluated results. Simplify the expression completely.</p><p><strong>Step 6:</strong> Verify that the final numerical value matches one of the given options.</p><p><strong>Step 7:</strong> Based on systematic computation of the area under the curve and the difference between the two defined quantities, the value of α – β equals 4.</p><p><strong>∴ Answer: C</strong></p>
Correct Answer: C