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2. Line integral - Wikipedia

   en.wikipedia.org/wiki/Line_integral

   In mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. [1] The terms path integral , curve integral , and curvilinear integral are also used; contour integral is used as well, although that is typically reserved for line integrals in the complex plane .

3. Antiderivative - Wikipedia

   en.wikipedia.org/wiki/Antiderivative

   The slope field of () = +, showing three of the infinitely many solutions that can be produced by varying the arbitrary constant c.. In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral [Note 1] of a continuous function f is a differentiable function F whose derivative is equal to the original function f.

4. Lists of integrals - Wikipedia

   en.wikipedia.org/wiki/Lists_of_integrals

   Integration is the basic operation in integral calculus.While differentiation has straightforward rules by which the derivative of a complicated function can be found by differentiating its simpler component functions, integration does not, so tables of known integrals are often useful.

5. List of integrals of rational functions - Wikipedia

   en.wikipedia.org/wiki/List_of_integrals_of...

   The following is a list of integrals (antiderivative functions) of rational functions. Any rational function can be integrated by partial fraction decomposition of the function into a sum of functions of the form:

6. List of definite integrals - Wikipedia

   en.wikipedia.org/wiki/List_of_definite_integrals

   In mathematics, the definite integral ()is the area of the region in the xy-plane bounded by the graph of f, the x-axis, and the lines x = a and x = b, such that area above the x-axis adds to the total, and that below the x-axis subtracts from the total.

7. Gradient theorem - Wikipedia

   en.wikipedia.org/wiki/Gradient_theorem

   2.1 Example 1. 2.2 Example 2. 2.3 ... also known as the fundamental theorem of calculus for line integrals, ... we have solved this problem using only Coulomb's Law ...