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Unformatted text preview: Find the general indefnite integral. (a) [5 points] i 4x 1 + x 2 dx (b) [5 points] i 4 x √ 1x 4 dx 5 (c) [5 points] i (4 + ln x ) 2 x dx (d) [5 points] i sec 4 x tan x dx 6 Problem 5. Find the defnite integral. (a) [5 points] i 5  x 22 x3  dx (b) [5 points] i 1 2(1 + x ) e x e + xe x dx 7 (c) [5 points] i 4 3 ( x3) 23 dx (d) [5 points] i π/ 4π/ 4 tan 7 x dx 8 Problem 6. [10 points] Evaluate the following limit. lim n →∞ 1 n p n √ e + n √ e 2 + ··· + n √ e n P 9 Problem 7. A particle is moving along a line with velocity v ( t ) = t 24 t + 3 (m/s). (a) [6 points] Find the displacement during the time interval 2 ≤ t ≤ 5. (b) [7 points] Find the total distance traveled by the particle during the time interval 2 ≤ t ≤ 5. 10...
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 Fall '08
 MING
 Calculus, Derivative, dx

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