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 ->  Equations -> 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      Log On


   

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) About Me  (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
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Int+F%2B%28x%29+=+x%5E4%2F2+%2B+e%5E%283x%29%2F3
F+(1) = 1/2 + e^3/3
F+(0) = 1/3
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Area = F+(1) - F+(0) = 1/2 + e^3/3 - 1/3
Area =~ 6.8618 sq units
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F+(x) also has a C term, the constant, but they cancel when the 2 values are subtracted, so they can be ignored.