5.
\((1)\)已知\(m= \int_{- \frac{π}{2}}^{ \frac{π}{2}}(\cos x−x+3\sin 2x)dx \),则\({{\left( x-\dfrac{1}{2\sqrt{x}} \right)}^{3m}}\)的展开式中,常数项为_________
\((2)\int_{-1}^{1}{(\sqrt{1-{{x}^{2}}}}-1)dx=\)________.
\((3)\)设\(n\)为正整数,\(f\left( n \right)=1+\dfrac{1}{2}+\dfrac{1}{3}+\ldots +\dfrac{1}{n}\),计算得\(f\left( 2 \right)=\dfrac{3}{2}\),\(f\left( 4 \right) > 2\),\(f\left( 8 \right) > \dfrac{5}{2}\),\(f\left( 16 \right) > 3\),观察上述结果,按照上面规律,可推测\(f\left( 4096 \right) > \)_____.
\((4)\)若复数\(z=(x+i)(1+i)\)是纯虚数,其中\(x\)为实数,\(i\)为虚数单位,则\(z\)的共轭复数\(\overline{z}=\)______.