Trigonometric identities showing that the identity is always true, no matter what value of x or θ is used. Because it has to hold true for all values of x, we cannot simply substitute in a few values of x to “show” that they are equal. We have to use logical steps to show that one […]
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Category: Cambridge Maths A
Integration of Polynomials
In integration the power of polynomials increase like quadratic become cubic etc. As well as get integration constant . It always give general solution due to integration constant. Integration
Partial Fraction(Advance)
Partial Fractions are used to decompose a given fraction simpler fractions. Hence, if I am given a single complicated fraction, my goal is to break it down into a series of “smaller” components or parts. Another we can say it is decomposition. Partial fraction
Differential Equation
A Differential Equation is a function and one or more of its derivatives. Hence it solve by variable seperable and linear differential eq method. Also it solve by homogeneous. Differential Eq
Integration by substitution -1
This post is about worksheet of Integration by exponential substitutions. 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 exponential substitution
Integration by substitution -2
This post is about worksheet of integration by logarithmic 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 logarithmic substitutions
Integration by Parts
By parts apply for integration when different functions are in product form . As well as one derivative of another. By parts
Derivative of polynomials
Derivative is product of differentiation. Differentiation has applications to nearly all quantitative disciplines. For example, in physics, the derivative of the displacement of a moving body with respect to time is the velocity of the body, and the derivative of velocity with respect to time is acceleration. Therefore differentiation is process Derivative
Optmization-3
Process of optimisation means optimal value of function at turning point (maximum or minimum ) value of the curve. Therefore second derivative use to find greatest or least value . Also it show greatest value. Optimization
Domain and range
Domain represent values of x , while range represented by F(x) or y function. Mostly , functions are portrayed as a set of x/y coordinates. Therefore y-axis serving as a function of x. When we use function F(x) notation then one is independent variable and another dependent variable. Due to this on Y-axis F(x) represent. Domain and range
