SOLUTION: Determine the area between the x-axis, the vertical lines x = 0 and x = 1 and the following curve: F(x) = 2x^3 + e^3x Please, thank you

Algebra.Com
Question 562373: Determine the area between the x-axis, the vertical lines x = 0 and x = 1 and the following curve:
F(x) = 2x^3 + e^3x
Please, thank you

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Determine the area between the x-axis, the vertical lines x = 0 and x = 1 and the following curve:
F(x) = 2x^3 + e^3x
------------------

F+(1) = 1/2 + e^3/3
F+(0) = 1/3
----------
Area = F+(1) - F+(0) = 1/2 + e^3/3 - 1/3
Area =~ 6.8618 sq units
------------
F+(x) also has a C term, the constant, but they cancel when the 2 values are subtracted, so they can be ignored.

RELATED QUESTIONS

two questions and answers: a) integrate 3^x answer: 3^x/In(3) b) find the exact area... (answered by Alan3354)
Find the area of the region bounded by the x-axis , the lines y=x and x=2 and the curve... (answered by Fombitz)
sketch the curve and find the area between curve and the x axis for the given bounds a.... (answered by ewatrrr,MathLover1)
please help Find the area bounded between a) f(x) = 1/x and g(x) = x^2 on the... (answered by ikleyn)
Calculate the following areas. First draw a neat sketch indicating the required area.... (answered by Fombitz)
I NEED HELP. PLEASE HELP ME ASAP. THANKS BEFORE :) 1) The straight line with equation... (answered by richard1234)
Calculate the total area of the region described. Do not count area beneath the x-axis as (answered by Alan3354)
Part of the graph of the function given by the equation y=x^3-2x^2-16x+32 Calculate... (answered by solver91311)
Please help me solve this equation: Find a vertical line x=a that bisects the region... (answered by Fombitz)