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: Recognize the integral form. The given integral is (1+r^2)^-1 dr, which can be rewritten as: (1)/(1+r^2) dr This is a standard integral form (1)/(a^2+r^2) dr, where a=1. Step 2: Apply the standard integration formula. The integral of (1)/(a^2+r^2) with respect to r is (1)/(a) ((r)/(a)) + C. Substitute a=1 into the formula: (1)/(1^2+r^2) dr = (1)/(1) ((r)/(1)) + C = (r) + C The final answer is (r) + C. What's next?