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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