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(10)04a(x+va)dx; (1)1m2dx; (12)Jo ever: (13)Jo a arctan cd. (14)Jo.cos cdz (15) I a2cos2cdc d (17)J_ sin m. cos ncdc; (18)2Va+d(a>0 (19) (20)Jx3(1-5x2)0d 2.计算下列定积分 (1)∫2 sin xdx; (2)J (4)Jo cos'adr (5)J0(a2-x2)d; (6)0(1-x2a(9) R 3 0 xdx 1+√ 1+x; (10) R 4 0 x(x + √ x)dx; (11) R π 2 1 cos x 1+sin2 x dx; (12) R 1 0 e √ xdx; (13) R 1 0 x arctan xdx; (14) R 2π 0 x 2 cos2 xdx; (15) R π −π x 2 cos2 xdx; (16) R √ ln 2 0 x 3 e −x 2 dx; (17) R π −π sin mx cos nxdx; (18) R a 0 x 2 qa−x a+x dx(a > 0); (19) R 2a 0 √ x2−a 2 x4 dx; (20) R √1 5 0 x 3 (1 − 5x 2 ) 10dx ; 2.计算下列定积分 (1) R π 2 0 sin9 xdx; (2) R π 0 sin5 xdx; (3) R 2π 0 cos6 xdx; (4) R 3π 2 0 cos7 xdx; (5) R a 0 (a 2 − x 2 ) ndx ; (6) R 1 0 (1 − x 2 ) 6dx; 6
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