Question

y=log(100493/40000*x-1)
y=atan(100493/40000*x+1)
y=exp(-100493/40000*x+1)
Note you will need 2 integrals to represent the area.
Approximate the area of the region bounded by the given curves. I can do it with two but kinda struggling over here please helppp!

Answer 1

the log and exp curves intersect at x=0.919387

above them, the atan curve intersects
exp at x=0.363949
log at x=2.02510

so, break the integral into two intervals, [.363949,.919387] and [.919387,2.02510]

the first interval integrate atan-exp, the second integrate atan-log

How do you integrate atan and log? Just do it by parts.

see wolframalpha

Answer 2

thank you so muchh!