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$${\displaystyle \int \frac{1}{ 4 x^{2}+ 4 x+ 17}\ dx}$$
\({\frac{3}{20} tan^{-1}( \frac{4}{5} x+ \frac{2}{5}) + C}\)
\({2 sin^{-1}( \frac{2}{3} x) + C}\)
\({\frac{1}{8} tan^{-1}( \frac{1}{2} x+ \frac{1}{4}) + C}\)
\({2 ln|\sqrt{ 4 x^{2}+ 4 x+ 10} + 2 x+ 1| + C}\)