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2. List of integrals of logarithmic functions - Wikipedia

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

   The following is a list of integrals (antiderivative functions) of logarithmic functions. For a complete list of integral functions, see list of integrals. Note: x > 0 is assumed throughout this article, and the constant of integration is omitted for simplicity.

3. Logarithmic integral function - Wikipedia

   en.wikipedia.org/wiki/Logarithmic_integral_function

   In mathematics, the logarithmic integral function or integral logarithm li(x) is a special function. It is relevant in problems of physics and has number theoretic significance. In particular, according to the prime number theorem , it is a very good approximation to the prime-counting function , which is defined as the number of prime numbers ...

4. Template:Integrals - Wikipedia

   en.wikipedia.org/wiki/Template:Integrals

   {{Integrals | state = collapsed}} will show the template collapsed, i.e. hidden apart from its title bar. {{ Integrals | state = autocollapse }} will show the template autocollapsed, i.e. if there is another collapsible item on the page (a navbox, sidebar , or table with the collapsible attribute ), it is hidden apart from its title bar, but if ...

5. Lists of integrals - Wikipedia

   en.wikipedia.org/wiki/Lists_of_integrals

   This can be proved by computing the derivative of the right-hand side of the formula, taking into account that the condition on g is here for insuring the continuity of the integral. This gives the following formulas (where a ≠ 0), which are valid over any interval where f is continuous (over larger intervals, the constant C must be replaced ...

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. Romberg's method - Wikipedia

   en.wikipedia.org/wiki/Romberg's_method

   Romberg's method is a Newton–Cotes formula – it evaluates the integrand at equally spaced points. The integrand must have continuous derivatives, though fairly good results may be obtained if only a few derivatives exist.