Answer: xⁿ⁺¹/(n+1) + C.
- A nxⁿ⁻¹
- B xⁿ⁺¹ + C
- C xⁿ⁺¹/(n+1) + C
- D (n-1)xⁿ + C
Correct answer: C. xⁿ⁺¹/(n+1) + C
Explanation: Power rule for integration: integral of xⁿ = xⁿ⁺¹/(n+1) + C.
The exact area under the curve from a to b (shaded) is approximated by a few rectangles, the Riemann sum idea behind the definite integral.