求几个函数的不定积分,要过程∫sin5xdx ∫[e^x/(1+e^2x)]dx ∫xe^xdx ∫lnxdx ∫xcosxdx
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![求几个函数的不定积分,要过程∫sin5xdx ∫[e^x/(1+e^2x)]dx ∫xe^xdx ∫lnxdx ∫xcosxdx](/uploads/image/z/6605003-11-3.jpg?t=%E6%B1%82%E5%87%A0%E4%B8%AA%E5%87%BD%E6%95%B0%E7%9A%84%E4%B8%8D%E5%AE%9A%E7%A7%AF%E5%88%86%2C%E8%A6%81%E8%BF%87%E7%A8%8B%E2%88%ABsin5xdx+%E2%88%AB%5Be%5Ex%2F%281%2Be%5E2x%29%5Ddx+%E2%88%ABxe%5Exdx+%E2%88%ABlnxdx+%E2%88%ABxcosxdx)
求几个函数的不定积分,要过程∫sin5xdx ∫[e^x/(1+e^2x)]dx ∫xe^xdx ∫lnxdx ∫xcosxdx
求几个函数的不定积分,要过程∫sin5xdx ∫[e^x/(1+e^2x)]dx ∫xe^xdx ∫lnxdx ∫xcosxdx
求几个函数的不定积分,要过程∫sin5xdx ∫[e^x/(1+e^2x)]dx ∫xe^xdx ∫lnxdx ∫xcosxdx
1.∫sin5xdx=(1/5)∫sin5xd5x=-(1/5)cos5x+c
2.∫[e^x/(1+e^2x)]dx = ∫[1/(1+e^2x)]d e^x=arctan(e^x) +c
3.∫xe^xdx= ∫xde^x=xe^x-∫e^xdx=xe^x-e^x+c
4.∫lnxdx=xlnx- ∫xdlnx=xlnx-∫1dx=xlnx-x+c
5.∫xcosxdx =∫xdsinx=xsinx-∫sinxdx =xsinx+cosx+c
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