secx^4的不定积分(secx^4的不定积分推导)
不定积分是:原式=∫(secx)^4dx=∫(secx)^2*(secx)^2dx=∫(1+(tanx)^2)*(1+(tanx)^2)dx,令y=tanx,则dy=(1+(tanx)^2)dx=(1+y^2)dx,上式=∫(1+y^2)dy=y+1/3*y^3=tanx+1/3*(tanx)^3+C。..(16)人阅读时间:2022-06-051-tanx^2等于多少 1-tanx^2等于多少secx
1-tan^2X=cos2X/cos^2X。推导过程:tanX=sinX/cosX sinX^2+cosX^2=1 cosX=1/secX,1-tan^2X=1-sin^2X/cos^2X=(cos^2X-sin^2X)/cos^2X=cos2X/cos^2X。..(15)人阅读时间:2022-06-031-tanx^2等于多少(1+tanx/2等于多少)
1-tan^2X=cos2X/cos^2X。推导过程:tanX=sinX/cosX sinX^2+cosX^2=1 cosX=1/secX,1-tan^2X=1-sin^2X/cos^2X=(cos^2X-sin^2X)/cos^2X=cos2X/cos^2X。..(147)人阅读时间:2022-05-31secx^4的不定积分 secx^4的不定积分怎么算?
不定积分是:原式=∫(secx)^4dx=∫(secx)^2*(secx)^2dx=∫(1+(tanx)^2)*(1+(tanx)^2)dx,令y=tanx,则dy=(1+(tanx)^2)dx=(1+y^2)dx,上式=∫(1+y^2)dy=y+1/3*y^3=tanx+1/3*(tanx)^3+C。..(95)人阅读时间:2022-05-26