Test2_10 - Show that there is a constant C such that F ( x...

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1 Name MAC 3472 Honors Calculus I Keesling Test 2 10/27/10 Do all problems. Explain your answers and show all work. Each problem is 20 points. 1. Determine the following integrals. (a) tan 3 x dx ! (b) cos 3 x dx ! 2. Determine the following integrals. (a) x ! e x dx " (b) sin 4 xdx !
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2 3. Suppose that F ( x ) and G ( x ) are differentiable functions such that ! F ( x ) " ! G ( x ) on an interval.
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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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This note was uploaded on 07/14/2011 for the course MAC 3472 taught by Professor Jury during the Spring '07 term at University of Florida.

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Test2_10 - Show that there is a constant C such that F ( x...

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