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He developed powerful methods in the early study of integration. He computed the definite integral of sin x, worked on the cycloid and computed the arc length of a spiral. Roberval is important for his discoveries on plane curves and for his method for drawing the tangent to a curve, already suggested by Torricelli.
In 1669 he invented the Roberval balance which is now almost universally used for weighing scales of the balance type.
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Among the curves Roberval worked on were the Cissoid of Diocles, the Cycloid, the Folium of Descartes, the Limacon of Pascal and the Right Strophoid.
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