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Trig Substitutions - Integration techniques
As we have completed in the last couple of sections, now let's start off with a couple of integrals that we should previously be able to do with a standard substitution.
Both of these utilized the substitution u = 25x2 - 4 and at this point should be pretty easy for you to do. Though, let's take a look at the following integral.
Factoring polynomials Factoring polynomials is done in pretty much the similar manner. We determine all of the terms which were multiplied together to obtain the given polynom
Calculate the area and circumference of a circle: Calculate the area and circumference of a circle with a 3" radius. Solution: A = πr2
x=21
integral from 0 to pi of dx/(a+b*cos(x)
Consider the clique graph below. a) How many subgraphs of G with 3 nodes are there? b) How many of the subgraphs defined in part(a) are induced subgraphs?
Suppose that we know the logarithms of all numbers which are expressed to base 'a' and we are required to find the logarithms of all these numbers to base 'b'. We
Q. Find a common factor of the numerator and denominator? Ans. There's only one key step to simplifying (or reducing) fractions: find a common factor of the numerator and
Standard Basis Vectors The vector that is, i = (1, 0,0) is called a standard basis vector. In three dimensional (3D) space there are three standard basis vectors, i → = (1
The ratio of gasoline to oil needed to run a chain-saw is 16:1. If you have 3.5 mL of oil, how many millilitres of gasoline must you add to get the proper mixture?
Find out if each of the subsequent series are absolute convergent, conditionally convergent or divergent. Solution: (a) The above is the alternating harmonic ser
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