\int{2x^2-1+x^2\sqrt{x^2+4}/{x^2(x^2+4)}dx=

Correct Answer is : 98tanh−1x2+14x+sinh−1x2+c

9/8\tan^{-1}x/2+1/{4x}+\cosh^{-1}x/2+c

9/8\tanh^{-1}x/2+1/{4x}+\sinh^{-1}x/2+c

9/16\log|\frac{x+2}{x-2}| +1/{4x}+\log|{x+\sqrt{x^2+4}/2|+c

9/16\log|\frac{ 2-x}{ 2+x}| +1/{4x}+\cosh^{-1}x/2+c

AP EAMCET Engineering 2018 Apr 22 Shift 2 Paper

Section: Mathematics

Question : 74 of 160

Marks: +1, -0

∫

2x2−1+x2√x2+4

x2(x2+4)

dx=

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