Unformatted text preview: xaxis. Use the shell method. Problem 6. Sketch the region bounded by y = 3 xx 2 and y = 3x and ﬁnd the volume of the solid generated by revolving the region about the xaxis. Use the washer method. Problem 7. Integrate a. Z x 10 x dx ; b. Z π/ 2 π/ 6 cos x 1 + sin x ; c. Z 2 1 x 3 √ 3 x 4 + 1 dx Problem 8. Find the derivative of f ( x ) = ( x + 1) x . Problem 9. Calculate g (1) by using logarithmic diﬀerentiation g ( x ) = (1 + x )(2 + x ) x (4 + x )(2x ) Problem 10. Use integration by parts to calculate a. Z 1 / 2 x 2 cos πxdx ; b. Z x ln( x + 1) dx...
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 Fall '07
 Treisman
 Calculus, Salas, Exam Review Problems, Hille

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