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Area of a region

Please choose the 100% correct answer:

Q#12) Find the area, in square units, of the region bounded by the the x axis and the function y = 25 - x^2.

32/3
36
256/3
500/3
972
none of these

Q#13) Find the area under the curve y = 5e^-x - e^x , from x = 0 to x = ln(5)/2.

3 - 2(2^1/2 )
4 - 2(3^1/2 )
1
6 - 2(5^1/2 )
7 - 2(6^1/2 )
none of these

Solution Preview

Q12) We need to find fist where the curve intercepts with x axis.

=> y = 25-x^2 =0 => x = 5 or -5

=> ...

Solution Summary

This provides two examples of using calculus to find area.

$2.19