Let R be the region in the first quadrant enclosed by the graphs of #y=e^(-x^2)#, #y=1-cosx#, and the y axis, how do you find the area of the region R?
I graphed the two functions and also roughly highlighted the area we are trying to calculate:
Overview: Find the integral from zero to first intersection point of the two functions of the upper function minus the lower function
To find intersection point: set two equations equal to each other and solve using calculator ():
(On TI 83 to TI 84+CE: either use Numerical solver under MATH menu, or graph the functions and use intersect under CALC menu)
Plug this into graphing calculator to get: