Evaluate: `intsin^3xcos^6xdx`

Explanation

I=`intsin^3xcos^6xdx`

I=`intsin^2xsinxcos^6xdx`

=
`int(1-cos^2x)sinxcos^6xdx`

Let `t=cosx=dt=−sinxdx`

I=`int(1-t^2)t^6dt`

=`int(t^6-t^8)dt`

=`(t^9/9−t^7/7)​+c`

...