Logic Masters Deutschland e.V.

Happy New Year of ("!" isn't a factorial. :D)
Based on this equation of the new year shown above, this puzzle is presented to welcome the coming of the year of 2025. I sincerely hope that in this year of 2025, we'll have all our wishes come true!
The puzzle is shown as below, in which:
The integral sign is a Dutch Whisper; the cage labeled 2 is a Killer cage; the variable x are palindromes and the letter "d" is a german whisper.
The sum sign is a Renban line; the "i+" shaped line is a region sum line, with its dot(R7C6) containing an odd number; However, the "i=" and the parenthesis are just decoration and can be ignored.
There are also Kropki dots with numbers multiplied to a product of 2025. CLICK ME TO SOLVE IT! SPECIFICALLY
Normal Sudoku rules apply: Place the digits 0 through 8 in each empty cell. Digits must not repeat within the same row, column, or box.
Adjacent digits along each orange line must have a difference of at least 4;
Adjacent digits along each green line must have a difference of at least 5.
Digits along each magenta line must be a set of consecutive digits in any order, and must not repeat.
Box borders divide the blue line into segments with the same sum.
The digits in a cage must sum to the number printed in its corner. Digits may not repeat within a cage.
Each grey line connect 2 equal digits.
Digits in cells separated by a white dot are differed by the number shown on the dot, while the digits in cells separated by a black dot have a 1:3 ratio, No negative constraint.