I know how to do area problems but not with e, so i would appreciate the help.
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.
y = e^(5 x)
y = e^(6 x)
x = 1
I'm not sure if i'm suppose to rotate it around x=1, which means i need to change it in terms of x. and then i need to find the points and integrate the square of the difference between the e's (but i don't know how to square those terms either)
Find the volume of the solid formed by rotating the region enclosed by
y = e^(3 x)+4
y = 0
x = 0
x = 0.1
for this problem i'm sure you just integrate pi * the square of y = e^(3 x)+4 from 0 to 0.1, but I don't know how to square y = e^(3 x)+4.
any help would be appreciated.