Question

Sketch the curves and identify the region bounded by x = 1/2, x = 2, y = log_ex and y = 2^x. Find area of region.

Answer 1

See Fig.

A is point of intersection of x = 1/2 and y = 2x.

So, A is (1/2, 2).

B is point of intersection of x = 1/2 and y = lnx.

So, B is (1/2, - ln2).

C is point of intersection of x = 2 and y = In x.

So, C is (2, In2).

D is point of intersection of x = 2 and y = 2x.

So, D is (2, 4).