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 substitution
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Category: IB Maths HL
Improper integral
an improper definite integral, or an improper integral. And we would denote it as 1 is our lower boundary, but we’re just going to keep on going forever as our upper boundary. So our upper boundary is infinity. And we’re taking the integral of 1 over x squared dx. An improper integral is a type of definite integral in which the integrand is undefined at […]
Volume
To get a solid of revolution we start out with a function, y=f (x), on an interval [a,b]. We then rotate this curve about a given axis to get the surface of the solid of revolution. volume of revolution
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
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
Further Probability
to calculate Further Probability. Further Probability. An event ( E) is a subset of the sample space. That is, an event is a subset of all possible outcomes. We refer to this subset of outcomes as favourable outcomes. further probabilty
Sequence
Arrangement of term in particular pattern is known as sequence. A series is simply adding the terms in a sequence. An arithmetic series involves adding the terms of an arithmetic sequence. Similarly when terms are in ratio and addition , sequence as well as series will be geometric. Also when ratio is less than one than geometric series will be convergent. […]
Further Probability
to calculate Further Probabilities. Further Probability. An event ( E) is a subset of the sample space. That is, an event is a subset of all possible outcomes. We refer to this subset of outcomes as favourable outcomes. Further Probability
Differential Eq
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 Equation
