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A, B, and C wanted to compute the area under the curve f(x)=x−2+2x−6x3+cos(x) over the interval...

A, B, and C wanted to compute the area under the curve f(x)=x−2+2x−6x3+cos(x) over the interval [2,10]. To do this, each one used a different anti-derivative.

B used the antiderivative F(x)=−1x11+x2−2x3+sin(x).
A used the antiderivative F(x)=−x−11+x2−2x3+sin(x)+2020.
C used the antiderivative F(x)=−2x−3+x2−2x3+sin(x).

Who, if anyone, completed this problem correctly?

a) All three are correct

b) Only B

c) Only A and B

d) Only C

e) Only A

f) None of them.

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