Asked by James
Find the area between y=e^-x and y=4(x-x^2.
Answers
Answered by
Steve
the curves intersect at x = 0.260540 and 0.882888
so, the area is
∫[0.260540,0.882888] 4(x-x^2) - e^-x dx
= 2x^2 - 4/3 x^3 + e^-x [0.260540,0.882888]
= 0.172148
so, the area is
∫[0.260540,0.882888] 4(x-x^2) - e^-x dx
= 2x^2 - 4/3 x^3 + e^-x [0.260540,0.882888]
= 0.172148
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