Find the approximate area under the curve by dividing the intervals into n subintervals and then...

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Find the approximate area under the curve by dividing theintervals into n subintervals and then adding up the areas of theinscribed rectangles. The height of each rectangle may be found byevaluating the function for each value of x. Your instructor willassign you n_1 = 4 and n_2 = 8.

1. y=2x√(x^2+1) Between x = 0 and x = 6 for n1 = 4, and n2 =8

2. Find the exact area under the curve using integrationy=2x√(x^2+1) Between x = 0 and x = 6

3. Explain the reason for the difference in answers.

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