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angle antiderivative approximately arcsin arctan assume axis calculate center of gravity Chain Rule circle complex numbers compute concave conic section constant continuous converges cosx curve defined definition denote determine differentiable distance diverges domain dx dx ellipse evaluate Example 1 Let Exercises exists Find a formula Find an equation Find the area follows given grad Green's Theorem Hint hyperbola integral interval inverse iterates length Let f(x limit line integral maximum value Mean Value Theorem nonnegative parabola parallelepiped parametrized partial derivatives perpendicular polar coordinates polynomial positive power series prove radius radius of convergence real numbers rectangle relative extreme value Riemann sum sequence Show shown in Figure simple region Simpson's Rule sin2 sinx sketch the graph solid region bounded Solution square Suppose surface Taylor series triangle Value Theorem variables vector field vector-valued function velocity vertical xy plane