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Question

x44x24+x2+x4dx equals-

A
4+x2+x4x+c
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B
4+x2+x4+c
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C
4+x2+x42+c
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D
4+x2+x42x+c
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Solution

The correct option is A 4+x2+x4x+c
I=intx44x24+x2+x4dxI=x44x24x2+1+x2dx
Put 4x2+1+x2=t22(x44)dxx3=2tdtI=tdttI=t+c=4x2+1+x2+c=4+x2+x4x+c

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