problems1 - y = 1-x 2 , 0 x 1, about the x-axis. 4. Compute...

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MAT16B Sample problems for Midterm II 1. Find the antiderivatives of the following functions: f ( x ) = ( x + 1) 2 - x g ( x ) = x sin( x ) h ( x ) = e 1 /x 2 x 3 r ( x ) = x + 3 x 2 + x s ( x ) = x - 2 x 2 - 2 x - 1 t ( x ) = x 2 cos 7 ( x 3 ) sin( x 3 ) 2. Find the area of region bounded by the graphs of y = x 3 and y = x . 3. Find the volume of the solid of revolution formed by revolving the graph of
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Unformatted text preview: y = 1-x 2 , 0 x 1, about the x-axis. 4. Compute the following denite integrals: Z / 2 sin 2 ( x ) dx Z / 4 tan( x ) cos( x ) dx Z / 4 x-cos 7 ( x ) sin( x ) dx 1...
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