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=logx+x2+a2+c=log(x+1)+x2+2x+3+c
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