Answer to Question #265101 in Calculus for seed

Question #265101

Find the area of the region enclosed by the graphs of f(x)=x3 and g(x)=x2+2x

[Verify your answer by MATHEMATICA and attach the printout of the commands and output]


1
Expert's answer
2021-11-16T14:18:00-0500

The area between curves is the area between a curve f(x) and a curve g(x) on an interval [a,b] given by

"A=\\smallint_a^b|f(x)-g(x)|dx"


"=\\smallint_{-1}^2|x^3-(x^2+2x)|dx"


"=[\\frac{x^4}{4}-(\\frac{x^3}{3}+x^2)]_{-1}^2"


"Area=\\frac{37}{12}"







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