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How do you find Find the Riemann sum that approximates the integral #int_0^9sqrt(1+x^2)dx# using left endpoints with #n=6#?

1 Answer

Sep 21, 2014

Let #f(x)=sqrt{1+x^2}#.

#Delta x={b-a}/n={9-0}/6=1.5#

#L_6=[f(x_0)+f(x_1)+cdots+f(x_5)]cdot Delta x#

#=[f(0)+f(1.5)+f(3)+f(4.5)+f(6)+f(7.5)]cdot(1.5)#

#approx 34.84#

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