SOLUTION: two questions and answers: a) integrate 3^x answer: 3^x/In(3) b) find the exact area enclosed by the curve y=e^3x - 2, the x-axis and the lines x=0 and x=1 answer: 4In(2)/3 + e

Question 758447: two questions and answers:
a) integrate 3^x
answer: 3^x/In(3)
b) find the exact area enclosed by the curve y=e^3x - 2, the x-axis and the lines x=0 and x=1
answer: 4In(2)/3 + e^3/3 - 3
my question is, how do you get to these answers? can you please show me step by step.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
two questions and answers:
a) integrate 3^x
-------

= answer
answer: 3^x/In(3)
==============
b) find the exact area enclosed by the curve y=e^3x - 2, the x-axis and the lines x=0 and x=1
Ignore the constant of integration

=============
What is the exponent of e? 3x? or 3x-2?
answer: 4In(2)/3 + e^3/3 - 3 =~ 4.619375
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