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
Okay, m. Let's integrate this. Step 1: Identify the integral. The problem asks to integrate (5x). (5x) \, dx Step 2: Use a substitution. Let u = 5x. Then, differentiate u with respect to x: (du)/(dx) = 5 Rearrange to find dx: dx = (1)/(5) \, du Step 3: Substitute u and dx into the integral. (u) ( (1)/(5) ) \, du = (1)/(5) (u) \, du Step 4: Integrate with respect to u. The integral of (u) is (u). = (1)/(5) (u) + C Step 5: Substitute back u = 5x. = (1)/(5) (5x) + C The final answer is (1)/(5) (5x) + C. That's 2 down. 3 left today — send the next one.