積分（3）の解答

1．
(1) $3$\displaystyle{ { \sin }^{ - 1 }\frac{\hspace{2}x\hspace{2}}{\hspace{2}2\hspace{2}}+c }$ ⇒詳解1
(2) $3$\displaystyle{ - \frac{\hspace{2}1\hspace{2}}{\hspace{2}5\hspace{2}}\cot $5x+\frac{\hspace{2}{\pi}\hspace{2}}{\hspace{2}2\hspace{2}}$+c }$ ⇒詳解1
(3) $3$\displaystyle{ \frac{\hspace{2}1\hspace{2}}{\hspace{2}3\hspace{2}}$2x+1$\sqrt{ 2x+1 }- \frac{\hspace{2}2\hspace{2}}{\hspace{2}3\hspace{2}}x\sqrt{ 2x }+c }$
　　　⇒詳解1
(4) $3$\displaystyle{ \frac{\hspace{2}1\hspace{2}}{\hspace{2}2\hspace{2}}\log \| \frac{\hspace{2} x- 3 \hspace{2}}{\hspace{2} x+3 \hspace{2}} \| +c }$ ⇒詳解1
(5) $3$\displaystyle{ 2x+\sin 2x+c }$ ⇒詳解1
(6) $3$\displaystyle{ - \frac{\hspace{2}1\hspace{2}}{\hspace{2} 16 \hspace{2}}\cos 8x+\frac{\hspace{2}1\hspace{2}}{\hspace{2}4\hspace{2}}\cos 2x+c }$
　　　⇒詳解1