7. Approximate .5 10 x4+1 dx by dividing the interval [1, 5] into N = 4 equal subintervals and using four rectangles and the left endpoint method. Round your answer to five decimal places.

How many subintervals are needed to get an approximation by the trapezoid method that is accurate within 0.001?

1. Find the area between a z-score of -0.41 and 1.7. 2. FInd the area between a z-score of -0.41 and 0.

Estimate the area under the line y= 2x+1 using six rectangles and right endponits over the interval [1,7]

find the area between y=2x2+9x-5 and y=-X2+6x+1 for x in (-2,2)

When the area under f(x) = x2 + x from x = 0 to x = 2 is approximated, the formulas for the sum of n rectangles using left-hand endpoints and right-hand endpoints are as follows. Left-hand endpoints:      SL =  14 3  −  6 n  +  4 3n2 Right-hand endpoints:      SR =  14n2 + 18n + 4 3n2 Use these formulas to find SL(12) and SR(12). (Round your answers to two decimal places.) SL(12)  =    SR(12)  =