Sketch the region enclosed by y = 7^x and y = 3x^2 . Find the area of the region.

Answer 1

Your area is not well defined!

The area to the right of the origin is unbounded.

There is a closed area from (-∞,0] which may be what you want and it can be calculated.

You need to calculate the point where 7^x =3x² (close to x = -.4)

Then integrate 7^x from -∞ to that point and add to it the integral of 3x² from that point to 0.