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
Step 1: Separate the integral into individual terms. I = (6x^2 - 4x) \,dx = 6x^2 \,dx - 4x \,dx Step 2: Apply the power rule for integration, x^n \,dx = x^n+1n+1 + C, to each term. I = 6 · x^2+12+1 - 4 · x^1+11+1 + C I = 6 · (x^3)/(3) - 4 · (x^2)/(2) + C Step 3: Simplify the expression. I = 2x^3 - 2x^2 + C The final answer is 2x^3 - 2x^2 + C. Send me the next one 📸