積分（4）の解答

1．
(1) $3$\displaystyle{ \log \| x+\sqrt{ {x}^{2}+4 } \| +c }$ ⇒詳解1
(2) $3$\displaystyle{ \frac{\hspace{2}1\hspace{2}}{\hspace{2}5\hspace{2}}\log \| \frac{\hspace{2} x- 2 \hspace{2}}{\hspace{2} x+3 \hspace{2}} \| +c }$ ⇒詳解1
(3) $3$\displaystyle{ \frac{\hspace{2}1\hspace{2}}{\hspace{2}3\hspace{2}}{ \tan }^{ - 1 }$x- \frac{\hspace{2}1\hspace{2}}{\hspace{2}3\hspace{2}}$+c }$ ⇒詳解1
(4) $3$\displaystyle{ \frac{\hspace{2}2\hspace{2}}{\hspace{2}5\hspace{2}}\log \| \frac{\hspace{2} x- 4 \hspace{2}}{\hspace{2} x+1 \hspace{2}} \| +c }$ ⇒詳解1
(5) $3$\displaystyle{ \log \| x+1+\sqrt{ {x}^{2}+2x+2 } \| +c }$ ⇒詳解1