Limits, derivatives, and integration are used in finding areas and volumes of solids of various shapes.
They are used in finding energy, power in waves.
They are used in all subjects economics, chemistry, physics, maths where ever there is a modelling of a situation and then mathematically the behaviour is expressed as a formula.
These are used in thermodynamics, designing shapes of aeroplanes or cars, designs of fluid related engineering tasks, statistical sciences,
These calculus principles are used in space science, finding the years of planets, velocities of satellites. Without integration or differentiation, one cannot have a formula for sending a rocket into space.
Often engineering design has to work with calculus. Dealing sub atomic particles and modeling their behaviour, or electrmagnetic waves like light etc. we cannot do with out them.