area between curves y = f (x) between x = a and x = b, integrate y = f (x) between the limits of a and b. Areas under the x-axis will come out negative and areas above the x-axis will be positive. Area
Scatter plot
A scatter plots have show the relationship between two sets of data. In this example, each dot shows one person’s weight versus their height. Scatter Plot
Data handling -2
To understand data handling can be displayed in various ways. Hence data handling is tabulation of data. Another we arrange data. Data handling
Data handling
To understand how data can be displayed in various ways. Hence data handling is tabulation of data. Another we arrange data. Data handling
Area under the curve
To find the area under the curve y = f (x) between x = a and x = b, integrate y = f (x) between the limits of a and b. Areas under the x-axis will come out negative and areas above the x-axis will be positive. Area under the curve
Second fundamental theorem of Calculus-2
Second Fundamental Theorem of Calculus: Then F ( x) is an antiderivative of f ( x )—that is, F ‘( x) = f ( x) for all x in I. That business about the interval I is to make sure we only get limits of integration that are are reasonable for your function. Some things […]
Integration by substitution
This post is about worksheet of integration by trigonometric substitution. It also one of most important concept of integral calculus . The function ƒ(φ(t))φ′(t) is also integrable on [a,b] Integration by trigonometric substitutions
Expansion
Expansions of Algebraic Expressions The formula: a(b+c) = ab + ac Algebraic Expansion. (a+b)(c+d)=ac+ad+bc+bd and (a+b)(a-b)= a ² – b² difference of square (a+b)² = a² + 2ab + b² perfect square (a-b) ²=a²-2ab+b² Expansion
Factorisation
Factorisation process we applied bracket to take common term out. Also we apply difference of square of variable. Hence we reduce no of terms in expression. Therefore factorisation and expansion are reverse process. Factorisation
Simultaneous Eq.
simultaneous equations are solve by the elimination. These equations are also solve by substitution as well as graphic method. Due to variable solution give coordinate. simultaneous equation
