A) 4
B) 2
C) 3
D) 1
Correct Answer: D
Solution :
\[\int_{1}^{2}{\frac{dx}{(x-1)\,+3{{)}^{3/2}}}}\] \[x-1=\sqrt{3}\,\tan Q\] \[=\sqrt{3}\,{{\sec }^{2}}Q\] \[\int_{0}^{\pi /6}{\frac{\sqrt{3}\,\sec \,dQ}{3\sqrt{3}\,\sec .\,3Q}}\] \[=\frac{1}{3}\,\int_{0}^{\pi /6}{\cos ec\,Q\,=\frac{1}{3}\,(\tan Q)_{0}^{\pi /6}}\] \[=\frac{1}{6}\,=\frac{k}{k+5}\,=k+5=6k\] \[=\]
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