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Integration
We have, so far, seen that differential calculus measures the rate of change of functions. Differentiation is the process of finding the derivative (rate of change) of a function F(x) and is denoted by F'(x) Often, we may know the rate of change, F'(x) of a function F(x) which is unknown to us. In such situations we would like to find out the original function F(x) from the derivative, F'(x). Reversing the process of differentiation and finding out the original function from the derivative is called integration. The original function, F(x) is called the integral.
The left hand side of the equation is read as "the indefinite integral of f(x) with respect to x. The symbol is the integral sign, f(x) is the integrand and 'c' is an arbitrary constant. The arbitrary constant 'c' is added because of the following reason:
If d/dx {F(x)} = f(x) then we can also write that d/dx {F(x) + c} = f(x) where 'c' is an arbitrary constant, because the derivative of any constant is zero.
Twins Olivia and Chelsea and their friend Rylee were celebrating their fourteenth birthdays with a party at the beach. The first fun activity was water games. As Nicole arrived, sh
Measures Of Skewness - These are numerical values such assist in evaluating the degree of deviation of a frequency distribution from the general distribution. - Given are t
Explanation of Unitary Method Unitary Method keeps of following two steps:- Step 1 involves find the value of one unit. Step 2 involves find the value of requi
Before searching at series solutions to a differential equation we will initially require to do a cursory review of power series. So, a power series is a series in the form, .
Find the area of TRIANGLE ? To find the area of a triangle, multiply the base (b) by the height (h), and divide the resulting number in half. In other words, area is. It is
Solve 5x tan (8x ) =3x . Solution : Firstly, before we even begin solving we have to make one thing clear. DO NOT CANCEL AN x FROM BOTH SIDES!!! Whereas this may appear like
Also, their inability to apply the algorithm for division becomes quite evident. The reason for these difficulties may be many. We have listed some of them below. 1) There are n
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With their fence in place, Zack and Clint set to work landscaping yards. Since Clint did the majority of the actual landscaping and planting, he worked on the average more hours t
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