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Question

The integral (1+2x2+1x)ex21xdx is equal to

A
(2x1).ex21x+c
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B
(2x+1).ex21x+c
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C
xex21x+c
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D
xex21x+c
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Solution

The correct option is C xex21x+c
LetI=ex21x(1+2x2+1x)dx=ex21x(x(2x+1x2)+1)dx=eg(fg+f)dx=egf+C=ex1x2×x+CHence,optionCisthecorrectanswer.

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