2道积分题目1).∫xcosx^2dx 2)∫tan^3xsecxdx

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2道积分题目1).∫xcosx^2dx            2)∫tan^3xsecxdx
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2道积分题目1).∫xcosx^2dx 2)∫tan^3xsecxdx
2道积分题目
1).∫xcosx^2dx 2)∫tan^3xsecxdx

2道积分题目1).∫xcosx^2dx 2)∫tan^3xsecxdx
=∫x(cos2x+1)/2 dx
=1/4∫xcos2xd2x+∫x/2dx
=1/4∫xdsin2x+x²
=1/4xsin2x-1/4∫si2xdx+x²
=1/4xsin2x+1/8cos2x+x²+C
=∫tan²xdsecx
=∫(sec²x-1)dsecx
=sec³x/3-secx+C