Basic formulasEasyQuestion 330001
Question
∫xⁿ dx (n ≠ −1) equals:
- Axⁿ⁺¹/(n+1) + CCorrect
- Bnxⁿ⁻¹ + C
- Cxⁿ/n + C
- Dxⁿ⁺¹ + C
Correct answer
xⁿ⁺¹/(n+1) + C
Explanation
Power rule for integration: ∫xⁿ dx = xⁿ⁺¹/(n+1) + C, valid for n ≠ −1. For n = −1: ∫1/x dx = ln|x| + C.