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
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Category: Additional Maths
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
Straight line
Logarithmic Expression
Solve the logarithmic equation. This problem involves the use of the symbol “ln” instead of “log” to mean logarithm. Logarithmic expression
Simultaneous Equation
The 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 eq
Parabola
Vertex of a parabola is at the ‘origin’ and the axis of symmetry is along the x or y-axis, then the equation of the parabola is the simplest. So that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y – k)2= 4p (x – […]
Linear trigonometric equation
Linear Trigonometric equations are either linear or quadratic in nature. To find the angle value(s) that satisfy the given equation. Because it is linear trigonometric eq. hence it has two roots. Linear trigonometric eq
Logarthmic Equation
Logarithms equation can be solved using the properties of logarithms. So equation either are solve by log or exponent. Because both inverse of each other hence are either way exponent or log.In both apply properties of log or exponent. Also we need to factorised to solve. Logarithmic eq
