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
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{{{Int F+(x) = x^4/2 + e^(3x)/3}}}
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.