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(4)∫d+x (5) ∫+面m (7)∫ sIn. cosE-dz (8)∫1+2d (9)tanda (10)/anoc (11)∫snx+2 (12) d 7.求下列无理函数的不定积分: (1) x(1+2√x+vx) (2)∫xx+1y=dx (3)∫xm4x (5)∫√H (6)∫ (9)∫ 7(4) R sec xdx (1+sec x) 2; (5) R dx 1+tan x; (6) R dx (2+cos x) sin x; (7) R sin x cos x sin x+cos x dx; (8) R sin3 x 1+cos2 x dx; (9) R tan3 xdx; (10) R dx sin2 x cos x; (11) R cos xdx sin x+2 cos x dx; (12) R sin2 x 1+cos2 x dx. 7.求下列无理函数的不定积分: (1) R dx x(1+2√ x+ √3 x) dx; (2) R √ x+1− √ √ x−1 x+1+√ x−1 dx; (3) R dx x √ x2+2x+2; (4) R x √ x 2 − 2x + 2dx; (5) R q1−x 1+x dx x2; (6) R √ dx x2+x; (7) R x 2 √ dx 1+x−x2; (8) R √ x 2 + x + 1dx; (9) R dx x √4 1+x4; 7
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