Let $(M,J)$ be an almost-complex structure. By definition, if $M$ admits local holomorphic coordinates for $J$ around every point and these patch together to form a holomorphic atlas (complex structure) for $M$, then $J$ is said to be integrable.
I was able to verify that a complex manifold $M$ can admit many almost-complex structures.
But I couldn't verify this: given different integrable almost-complex structures $J_1,J_2$, can we say that they integrate to different complex structures?