This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
The integral of 2x dx is x² + C. Steps: 1. Apply the constant multiple rule: ∫c f(x) dx = c ∫f(x) dx ∫2x dx = 2 * ∫x dx 2. Apply the power rule for integration: ∫xⁿ dx = (xⁿ⁺¹)/(n+1) + C (where n ≠ -1) For x, n = 1. ∫x dx = x¹⁺¹ / (1+1) + C = x² / 2 + C 3. Combine the results: 2 * (x² / 2) + C = x² + C