Elementary Calculus |
Contents
DIFFERENTIATION | 71 |
CONTINUOUS FUNCTIONS | 137 |
INTEGRATION | 216 |
Copyright | |
11 other sections not shown
Common terms and phrases
a₁ antiderivative Ax Ay Axiom b₁ calculus Chain Rule circle closed interval compute constant converges cos² curve defined definite integral density differential distance diverges dx dx dx dy dy dx dz dz Evaluate EXAMPLE 1 Find Find the area Find the volume finite function f given graph hyperreal numbers improper integral independent variable infinitely close infinitesimal Intermediate Value Theorem inverse function length lim f(x limit line integral maximum Mean Value Theorem open interval parabola parametric equations plane positive infinite positive infinitesimal power series PROBLEMS FOR SECTION PROOF Prove radius radius of convergence real function real number rectangle region Riemann sum shown in Figure shows sin² slope st(a st(b Step Suppose surface undefined Value Theorem velocity vertical x-axis x₁ x² dx x²y y-axis zero Δυ дх ду