Logic Masters Deutschland e.V.

Another integral themed puzzle, and this time around its geometrically correct! (but not to scale...)

Previous integral puzzle: Integral of x³

RULES:

Renban lines: Pink lines must contain a set of consecutive digits in any order, without repeats.

Region sum lines: Digits on a blue line have an equal sum N within each box it passes through.

German whisper lines: Two cells connected by a green line must have a difference of at least 5.

Killer cages: Digits in cages must sum to the number in the top-left corner and cannot repeat.

XV: Cells joined by an X or V must sum to 10 (X) or 5 (V).

NOTE: The minus sign to the left of the 4 in r3c2 is purely cosmetic.

For clarity: The whisper and renban x's are each technically two different lines of length two intersecting each other.

SudokuPad

For those who don't like math, it kinda resembles a smiley face so there's that :)