Roller Coaster Norepinephrine Overload Theme Park has contracted the firm you work at to design a roller coaster with a sharp drop along the curve y=f(x)=ex+e−x2. The lead engineer at your firm has asked you to calculate the distance that the roller coaster car travels along this curve from the top point (x=−1) to the bottom point (x=0). (Units would be scaled appropriately in manufacture. ) The formula for the length along a curve s can be written s=∫bx=adx1+(dydx)2−−−−−−−−−−√ Solve symbolically for s. You may need to use the identity cosh2x=e2x+2+e−2x4 to solve the integral. This problem will require you to do some thinking and experimentation, since sympy can't solve the resulting integral directly. An intermediate result you can check against is that dydx=ex−e−x2. Store your result for s as a float for submission. This may require using the math module to interpret the result you obtained using sympy.