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Unformatted text preview: Show that there is a constant C such that F ( x ) ! G ( x ) + C on the interval. 4. Prove the following inductive formula for integration. Use integration by parts. tan n xdx = tan n ! 1 x n ! 1 ! tan n ! 2 xdx " " 3 5. Determine the derivative of arctan( x ) as the inverse for the tan( x ) on ! " 2 , 2 # $ % & ....
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