Question
the area bounded by y = 1nx and the lines y = 0 and x=e
Answers
Reiny
Did you mean
y = ln x ? , I will assume you did
Make a sketch to see the region in question.
so you want
∫ lnx dx from x = 1 to e
= [xlnx - x] from 1 to e
= elne - e - (1ln1 - 1)
= e - e - 0 + 1
= 1
(the integral of lnx should be in your repertoire of standard integrals)
y = ln x ? , I will assume you did
Make a sketch to see the region in question.
so you want
∫ lnx dx from x = 1 to e
= [xlnx - x] from 1 to e
= elne - e - (1ln1 - 1)
= e - e - 0 + 1
= 1
(the integral of lnx should be in your repertoire of standard integrals)