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Q.

Anti derivative of dxx2+2x+3 is equal to

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a

logx+1+x2+2x+3+c

b

logx+1+x2+2x+4+c

c

logx+1−x2+2x−3+c

d

logx+1+x2−2x+3+c

answer is A.

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Detailed Solution

∫dxx2+2x+3=∫dxx2+2x+1+2=∫dx(x+1)2+(2)2 Use ∫1x2+a2dx=log⁡x+x2+a2+c=log⁡(x+1)+x2+2x+3+c
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