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The value of dx4x3x2 is equal to

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a
sin−1⁡(x−1)+C
b
log⁡(x−2)+4x−3−x2
c
log⁡(x−1)+4x−3−x2+C
d
sin−1⁡(x−2)+C

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detailed solution

Correct option is D

4x−3−x2=−x2−4x+3=−(x−2)2−1=1−(x−2)2So, ∫dx4x−3−x2=∫dx1−(x−2)2=sin−1⁡(x−2)+C


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