Dynamic Math Logo Design

I need a clean, memorable logo for a high-school–level math small business. The look should feel modern and a little playful, as if it were sketched on a bright classroom whiteboard, yet polished enough to sit on a website header or printed worksheet.

Core elements to weave together
• An elongated ∫ integral sign as the focal point
• A hand-sketched infinity symbol that visually balances the integral
• x- and y-axes drawn in the same stroke weight and color, one vertical and one horizontal, then tilted together about 5° counter-clockwise so the whole composition feels dynamic

Colour palette
Primary purple paired with a lively lime green. Please keep the background fully transparent so I can drop the mark onto any surface later.

Overall style
Hand-drawn simplicity—nothing overly complex or busy—but still bold and crisp when exported to vector. Think modern, approachable, and instantly recognizable to teenagers studying upper-level math.

Deliverables
1. Editable vector file (AI or SVG)
2. High-resolution PNG with transparent background
3. Small and large favicon versions (optional but appreciated)

Acceptance
I’ll consider the project complete when the files open cleanly, colors match the specified palette, and the axes’ 5° tilt is clearly visible without distorting the rest of the artwork.

If you have sample sketches or quick concept thumbnails, feel free to share early so we can lock the direction before final polishing.