Answer Key - Answer Key (p228-230,复复复复) 3 1.(1) x 4...

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Unformatted text preview: Answer Key (p228-230,复复复复) 3 1.(1) x 4 − 2 x 2 + C 4 4 1 (2) x 3 − − 4 x + C 3 x (3) 2 x − arctan x + C (4) e x − e − x + 2 x + C 4 2.(1) − 3 (1 − 2 x 2 ) 3 + C 16 (3) − e cos θ + C (2) (4) − (5) arctan x 2 − 1 + C (e x − 2) 3 +C 3 (1 − ln x) 3 +C 3 (6) x 2 − 4 − arctan x2 − 4 +C 2 3 (7) 2 ln( x + 1) + c 22 (8) (1 − x ) − 1 − x 2 + c 3 x2 3(1) ( − )e −3 x + c 39 (2) x tan x + ln | cos x | + c (3) 2 x (ln x − 2) + c (4) − x 2 cos x + 2( x sin x + cos x) + c 1 1 x (5) e − 2 x ( x 2 + x + ) + c (6) (sin ln x + cos ln x ) + c 2 2 2 4(1) (5) 38 15 2 3 4 2 25 − 3 24 π (6) arctan e − 4 (2) (3) 14 ln 33 (7) π 3 1 (4) (2 2 − 1) 3 (8) 3 − π 3 π1 − 42 5(1) C ( x) = 0.2 x 2 − 12 x + 120. L( x) = −0.2 x + 32 x − 120. (2) x = 80, Lmax = 1160. 6. Q = 68, Lmax = 4444. 7. Q = 68, P = 106, Lmax = 2824. (9) 2 ln 2 − 1 (10) 8.(省省). 1 ...
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