Find the area between the curve and the x-axis over the ...



NAME ____________________________ NAME _________________________________

I. Numerical Integration on the Calculator

1. Integrate [pic].

Instructions:

From your home screen, choose MATH 9: fnInt.

Complete as fnInt(e^(-[pic]),x,-1,2).

(Syntax is: Integrand first, variable integrating with respect to, lower limit, upper limit.)

Select ENTER.

1.629 is your answer rounded to three decimal places.

2. Your turn: Integrate [pic] = _____________ to three decimal places.

II. Find the area between [pic] and the x-axis over the interval [- 1, 3 ]. Sketch a graph and shade the appropriate area. Write the appropriate integral(s) and then use fnInt.

III. 1. Find the area enclosed between the curves [pic] and [pic] on [ - 1, 3 ]. Sketch a graph and shade the appropriate area. Write the appropriate integral(s) and then use fnInt.

2. Sketch, shade, write down the appropriate integrals and find the area between [pic] and [pic].

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