How do you use the trapezoidal rule with n=2 to approximate the area between the curve #y=x^2# from 1 to 5?

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Answer 1 · 2015-09-28T16:46:55

34 square units

The problem is perhaps to find the area between the given curve and the x axis, from x=1 to x=5, with two intervals.

With n=2, the two intervals would be from x=1 to x=3 and from x=3 to 5. The two trapezoids so formed would have a width of two units.

Sum of the area of two trapezoids would be# 1/2 *2[ f(1) +f(3) + f(3)+f(5)]#

= [1+9+9+25]= 34 square units.