数学
求1/2(sinx)^2和ysiny^2的积分

2019-05-28

求1/2(sinx)^2和ysiny^2的积分
优质解答
ʃ1/2(sinx)^2dx
=ʃ(1/4)(1-cos2x)dx
=1/4ʃdx-1/8ʃcos2xd2x
=1/4x-1/8*sin2x+C
ʃysiny^2dy
=1/2ʃsiny²dy²
=-1/2cosy²+C ʃ1/2(sinx)^2dx
=ʃ(1/4)(1-cos2x)dx
=1/4ʃdx-1/8ʃcos2xd2x
=1/4x-1/8*sin2x+C
ʃysiny^2dy
=1/2ʃsiny²dy²
=-1/2cosy²+C
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