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Integral calculus Assignment help


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Topics for Integral calculus

  • The Tangent and Velocity Problems, The Limit of a Function, Calculating Limits Using the Limit Laws, Continuity, Limits at Infinity, Horizontal Asymptotes, Derivatiaves and Rates of Change, The Derivative as a Function, Derivatives of Polynomials and Exponential Functions, The Product and Quotient Rules, Derivatives of Trigonometric Functions, The Chain Rule, Implicit Differentiation
  • Derivatives of Logarithmic Functions, Rates of Change in the Natural and Social Sciences, Exponential Growth and Decay, Related Rates, Linear Approximations and Differentials, Maximum and Minimum Values, The Mean Value Theorem, Shape of a Graph, Indeterminate Forms and l’Hospital’s Rule, Curve Sketching, Optimization Problems, Newton’s Method, Antiderivatives, Areas and Distances
  • The Definite Integral, The Fundamental Theorem of Calculus, Indefinite Integrals and the Net Change Theorem, The Substitution Rule, Areas between curves, Volumes, Integration by parts, Trigonometric integrals, Trigonometric substitution, Integration by partial fractions, Partial fractions cont, Improper integrals, Arc length, Polar coordinates, Functions of several variables, Limits and continuity, Partial derivativesTangent
  • planes and linear approximations, The chain rule, Directional derivatives and gradients, Maximum and minimum values, Series, The integral test, Comparison tests, Alternating series, Absolute convergence, Root and ratio tests, Power series, Representations of functions as power series, Taylor and Maclaurin series
  • Iterated integrals, Line and surface integrals, Vector analysis with applications to vector potentials and conservative vector fields, Physical interpretations, Divergence theorem and the theorems of Green, Gauss, Stokes

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