Question

求下列不定积分？要详细过程

Answer 1

1.∫(5x-4)^4 dx
=1/5 ∫(5x-4)^4d(5x-4)
=1/25 (5x-4)^5 +C
3.∫xcosx²dx
=1/2 ∫cosx²d(x²)
=1/2 sinx² +C
5.∫x²e^x³dx
=1/3 ∫e^x³d(x³)
=1/3 e^x³ +C
7.∫3^(1/x) /x² dx
=-∫3^(1/x) d(1/x)
=-1/ln3 3^(1/x) +C
9.∫ln²x/xdx
=∫ln²xd(lnx)
=1/3 ln³x + C
11.∫(1-sinx)^5 cosxdx
=-∫(1-sinx)^5 d(1-sinx)
=-1/6 (1-sinx)^6 + C

追问

还有一题呢

追答

不是就6题吗