9x-7i 3(3x-7u)

9x-7i 3(3x-7u)

Input
9 x – (7 i) (3 (3 x – 7 u))
Result
9 x – 21 i (3 x – 7 u)
Alternate form assuming u and x are real
9 x + i (147 u – 63 x)
Root
x = (343/150 – (49 i)/150) u
Property as a function
odd
Root for the variable u
u = (3/7 + (3 i)/49) x
Derivative
(d)/(dx)(9 x – (7 i) (3 (3 x – 7 u))) = 9 – 63 i
Indefinite integral
integral (9 x – (7 i) (3 (3 x – 7 u))) dx = 147 i u x + (9/2 – (63 i)/2) x^2 + constant
Definite integral over a disk of radius R
integral integral_(u^2 + x^2
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