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2. Advanced calculus - Wikipedia

   en.wikipedia.org/wiki/Advanced_calculus

   A branch of calculus that goes beyond multivariable calculus; for this, see Calculus on Euclidean space Topics referred to by the same term This disambiguation page lists articles associated with the title Advanced calculus .

3. Lists of integrals - Wikipedia

   en.wikipedia.org/wiki/Lists_of_integrals

   Advanced. Calculus on Euclidean space ... Integration is the basic operation in integral calculus. ... Derivatives, Integrals, Series and Other Formulas. Russian ...

4. List of calculus topics - Wikipedia

   en.wikipedia.org/wiki/List_of_calculus_topics

   Cavalieri's quadrature formula; Fundamental theorem of calculus; Integration by parts; Inverse chain rule method; Integration by substitution. Tangent half-angle substitution; Differentiation under the integral sign; Trigonometric substitution; Partial fractions in integration. Quadratic integral; Proof that 22/7 exceeds π; Trapezium rule ...

5. Glossary of calculus - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_calculus

   Is a subfield of calculus [30] concerned with the study of the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus, the study of the area beneath a curve. [31] differential equation Is a mathematical equation that relates some function with its derivatives. In applications ...

6. List of definite integrals - Wikipedia

   en.wikipedia.org/wiki/List_of_definite_integrals

   The fundamental theorem of calculus establishes the relationship between indefinite and definite integrals and introduces a technique for evaluating definite integrals. If the interval is infinite the definite integral is called an improper integral and defined by using appropriate limiting procedures. for example:

7. Calculus - Wikipedia

   en.wikipedia.org/wiki/Calculus

   Calculus is the mathematical study of ... derived a formula for the sum of fourth ... 685–700 More advanced applications include power series and ...

8. Calculus on Euclidean space - Wikipedia

   en.wikipedia.org/wiki/Calculus_on_Euclidean_space

   This calculus is also known as advanced calculus, especially in the United States. It is similar to multivariable calculus but is somewhat more sophisticated in that it uses linear algebra (or some functional analysis) more extensively and covers some concepts from differential geometry such as differential forms and Stokes' formula in terms of ...

9. Integration by reduction formulae - Wikipedia

   en.wikipedia.org/wiki/Integration_by_reduction...

   In integral calculus, integration by reduction formulae is a method relying on recurrence relations. It is used when an expression containing an integer parameter , usually in the form of powers of elementary functions, or products of transcendental functions and polynomials of arbitrary degree , can't be integrated directly.