The calculator will try to find the moments of inertia and radii of gyration of the region/area bounded by the given curves, with steps shown.
Solution
Ix=0∫3x2∫3xy2⋅1dydx=282187≈78.107142857142857
Iy=0∫3x2∫3xx2⋅1dydx=20243=12.15
m=0∫3x2∫3x1dydx=29=4.5
Rx=mIx=14942≈4.166190448976482
Ry=mIy=10330≈1.643167672515498