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Question

ex(1x1+x2)2dx.

A
ex.11+x2.
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B
ex.11x2.
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C
ex.11+x2.
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D
12ex.11+x2.
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Solution

The correct option is C ex.11+x2.
(1x1+x2)2=1+x22x(1+x2)2
11+x2+2x(1+x2)2=f(x)+f(x)
I=ex[f(x)+f(x)]dx=ex.f(x)=ex.11+x2.

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