\int\sin^{-1}[(2\x+2)/\sqrt{4\x^{2}+8\x+13}]\dx is equal to

Correct Answer is : (x+1)tan−1(2x+23)−34log(4x2+8x+139)+c

(\x+1)\tan^{-1}({2\x+2}/3)-3/4\log({4\x^{2}+8\x+13}/9)+\c

3/2\tan^{-1}({2\x+2}/3)-3/4\log({4\x^{2}+8\x+13}/9)+\c

(\x+1)\tan^{-1}({2\x+2}/3)-3/2\log({4\x^{2}+8\x+13})+\c

3/2(\x+1)\tan^{-1}({2\x+2}/3)-3/4\log({4\x^{2}+8\x+13})+\c

VITEEE 2010 Paper

Question : 103 of 120

Marks: +1, -0

∫sin−1[

(2x+2)

√4x2+8x+13

]‌dx is equal to

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