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antiderivative approximation arc length arccotx arcsinx arctan argsinhx asymptote axis becomes bx+c calculate the area circle Compute constant continuous function coordinates cos0 coshx curvature curve decreasing defined definition derivative differential equations directrix distance diverges domain dt dt dx dx eA(x ellipse endpoints Example EXERCISES ON CHAPTER exists exsinx following functions formula function f graph hence hyperbolic functions improper integral indefinite integral interval a,b inverse inverse trigonometric functions lim f(x limit linear mean value theorem NOTE obtain parabola parameter parametric equations partial fractions particle partition polynomial of degree positive power series PROOF prove radius radius of convergence region bounded sequence series converges Similarly sin0 sinhx sinx slope solution subintervals tangent telescoping series trigonometric functions uniform convergence value theorem variable velocity volume write x-axis y-axis y-intercepts