Calculus

The formula is used to lower the power of the integrand to more practical powers.If we have the following form: The general following formula should be used to solve this type of integrals. We will […]

This method is used to isolate the algebraic part in indefinite integral of the rational functions To find This is the Greatest Common divisor of and its derivative. To find : To find and we […]

Integration Techniques, multiple pages In this chapter, we are going to take off the gloves and work harder on the techniques used to solve integral problems. We will still remain in the area of the […]

The Definite Integral After an extensive study of integration techniques, we are now ready to use the antiderivatives in practical situations. The definite integral is used to calculate areas, lengths, volumes and other complicated things […]

Integration table In the previous chapters, we have used an extensive amount of formulas for the indefinite integration. While we have not started the definite integrals calculation, it is handy to have some of the […]

Implicit differentiation Sometimes we are presented with equations in two variables, and that may have multiple solutions for in terms of or for in terms of . The solutions found will be implicitly defined by […]

Indefinite Integral We have covered the introduction to derivatives. Another topic would be to find a function if we know it’s derivative. This very interesting and we won’t spend much time explaining what the antiderivative […]

Higher order Derivatives In the following formulas, we show the higher order derivatives before diving into practical applications. If we define functions Like , , and with being the variable and a natural number:   The […]

Derivatives After a brief coverage of the calculations, we can now start diving into the heart of the differentiation calculations. In geometry, when we calculate the slope of the tangent of given graph, we get […]

Theory of Limits Idea of the Limit: A number is the of as approaches , if  the number can be made as close to as we choose sufficiently near but not equal to . In […]