Find the formula for the Riemann sum obtained by dividing the interval [ - 1, 0] into n equal subintervals and using the right endpoint for each C. Then take the limit of these sums as n → ∞ to calculate the area under the curve f(x) = 22x2 + 22x° over [ – 1, 0]. The area under the curve over [– 1, 0] is square units.

Use the Riemann Sum to find the area of the region bounded by the graph of f(x)=tan(x/6) and the x-axis between x = 0 and x = 2π. Write out the expression of the summation, but don’t evaluate it.

For the function f(x)= 2x2+5, find a formula for the sum by dividing the interval [0,3] into n equal subintervals. Then take the limit as n→∞ to calculate the area under the curve over [0,3]. please write neatly and show steps in order

Consider the function y= √x over the interval  [0,9]. (a) Use a Riemman sum with a partition of [0,9] into three equal-length subintervals to estimate the area under the y= √x over the interval [0,9]. Use the right-hand endpoints of the subintervals to calculate the height for the rectangles. (b)Check your estimate from part (a) by integrating an appropiate integral to find the exact area