The following question continues the exercise to connect the…

The following question continues the exercise to connect the Riemann sum and the Fundamental Theorem of Calculus (2/3): Use the definition of a definite integral with right endpoints to calculate the area under the curve of f ( x ) = x 3 + 1 {“version”:”1.1″,”math”:”f(x)=x^3+1″}for 0 ≤ x ≤ 3. Note: This is the definition with lim n → ∞ ∑ i = 1 n f ( x i ) Δ x {“version”:”1.1″,”math”:”\lim_{n\to\infty}\sum_{i=1}^n f(x_i)\Delta x”}The following equations will be helpful for this question. ∑ i = 1 n i = n ( n + 1 ) 2 {“version”:”1.1″,”math”:”\sum_{i=1}^n i=\dfrac{n(n+1)}{2}”} ∑ i = 1 n i 2 = n ( n + 1 ) ( 2 n + 1 ) 6 {“version”:”1.1″,”math”:”\sum_{i=1}^n i^2=\dfrac{n(n+1)(2n+1)}{6}”} ∑ i = 1 n i 3 = n 2 ( n + 1 ) 2 4 {“version”:”1.1″,”math”:”\sum_{i=1}^n i^3=\dfrac{n^2(n+1)^2}{4}”} Select an option from below: