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
It seems there might be a misunderstanding, as the fraction 2/5 does not appear in the solution. The exponent we calculated was u^-1/5 + 1. To add these, we find a common denominator: (1)/(5) + 1 = - (1)/(5) + (5)/(5) = (-1 + 5)/(5) = (4)/(5) This resulted in u^4/5. Then, when integrating u^n \, du = u^n+1n+1 + C, we divided by the new exponent: u^4/54/5 Dividing by a fraction is the same as multiplying by its reciprocal: u^4/54/5 = (5)/(4) u^4/5 This is where the fraction (4)/(5) (as an exponent) and its reciprocal (5)/(4) (as a coefficient) appear.