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Question
Under which condition does \[P_6\] give \[\int_{0}^{2a} f(x)\,dx=0\]?
Options
\[f(2a-x)=f(x)\]
\[f(-x)=f(x)\]
\[f(2a-x)=-f(x)\]
\[f(x)=0\]
MCQ
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Solution
The second conditional result of \[P_6\] holds when \[f(2a-x)=-f(x)\]. The two parts obtained from \[P_5\] then cancel.
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