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JEE Advance - Mathematics (2001 - No. 9)

Evaluate $$\int {{{\sin }^{ - 1}}\left( {{{2x + 2} \over {\sqrt {4{x^2} + 8x + 13} }}} \right)} \,dx.$$
(x+1)arctan((2x+2)/3) - (3/4)log(4x^2 + 8x + 13) + C
(x+1)sin^{-1}((2x+2)/3) - (3/4)log(4x^2 + 8x + 13) + C
(x+1)tan((2x+2)/3) - (3/4)log(4x^2 + 8x + 13) + C
(x+1)arctan((2x+2)/3) - (3/4)log(4x^2 - 8x + 13) + C
(x+1)arctan((2x+2)/3) + (3/4)log(4x^2 + 8x + 13) + C

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