求不定积分1.∫1/(xInx)dx2.∫e^(s - 知识问答

求不定积分1.∫1/(xInx)dx2.∫e^(sinx)cosxdx3.∫e^xcose^xdx

1个回答

1.
∫1/(xlnx)dx
=∫1/(lnx) (1/x dx0
=∫1/(lnx)d(lnx)
=ln|lnx|+C
2.
∫e^(sinx)cosxdx
=∫e^(sinx)dsinx
=e^sinx+C
3.
∫e^xcose^xdx
=∫cose^xde^x
=sine^x+C

相关问题