# The Elementary Calculus

Calculate following areas
1) Limited by the function y=2 x 2 , the x -axis and the points x= -1 and x=2 (10 points)

2) Limited by the function y=4 x e x 2 , the x-axis and the points x=0 and x=3 (Tip: You will need a scientific calculator for the last step) (20 points)

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3) Limited by the function y= 2 x −4 2 x 2−8 x the x-axis and the points x=5 and x=10. (Tip: You will need a scientific calculator for the last step) (20 points)

4) Limited by the function = sin 2 x, the x-axis and the points x = π 12 (15º )and x = π 6 (30º ) (Tip : you may need a scientific calculator for finding some trigonometric values) (25 points)

5) Limited by the function y=2 x e x , the x-axis and the points x=1 and x=2 (Tip: You will need a scientific calculator for the last step) (25 points) For more information on The Elementary Calculus see this: https://en.wikipedia.org/wiki/Elementary_Calculus:_An_Infinitesimal_Approach

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