
第12和第14题,先做第12题,求不定积分,一定好评!谢谢!
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(12)
∫dx/√(9-4x^2)
let
x = (3/2)siny
dx=(3/2)cosy dy
∫dx/√(9-4x^2)
=(1/2)∫ dy
=(1/2)y+ C
=(1/2)arcsin(2x/3)+ C
(14)
∫dx/[(x+1)(x+2)]
=∫[1/(x+1)-1/(x+2)]dx
=ln|(x+1)/(x+2)| + C
∫dx/√(9-4x^2)
let
x = (3/2)siny
dx=(3/2)cosy dy
∫dx/√(9-4x^2)
=(1/2)∫ dy
=(1/2)y+ C
=(1/2)arcsin(2x/3)+ C
(14)
∫dx/[(x+1)(x+2)]
=∫[1/(x+1)-1/(x+2)]dx
=ln|(x+1)/(x+2)| + C
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