The Elements of the Differential and Integral Calculus: With Numerous Examples

abscissas acceleration algebraic function angle approaches zero area inclosed Ax=0 Ax ax² axis Ay Ax body CHAPTER circular sectors concave constant cos² curvature cycloid Definition Denote derivative differential direction displacement distance double integration dx dy dx x=x0 dy dx equation EXAMPLE EXERCISES feet Find the area Find the coördinates Find the length force formulas function given increases without limit inertia infinite infinitesimal initial line mass moment of inertia motion negative ordinates corresponding P₁ P₂ parabola parallel particle perpendicular plane polar coördinates positive preceding article radius rectangles required area respectively revolution Rolle's Theorem sec² Simpson's Rule sin² single valued speed subtangent surface tan² tangent line Taylor's Theorem Theorem unit valued and continuous variable velocity x-axis x=xo xy-plane y-axis Δα