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The integration of tan square x $\tan ^2 x$, can be found using trigonometry identities and fundamental integral formulas . The integral of $\tan ^2 x$ with respect to (x) is: \[\int \tan^2 x \, dx =\tan x -x + C\] Here, (C) represents the constant of integration, which is added because the process of […]
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The integration of sin cube x $\sin ^3 x$, can be found using integration substitution and trigonometry identities . The integral of $\sin ^3 x$ with respect to (x) is: \[\int \sin^3 x \, dx =\frac {\cos 3x}{12} – \frac {3\cos x}{4} + C\] or \[\int \sin^3 x \, dx =+\frac{\cos^3(x)}{3} – \cos(x) + C\]
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The differentiation of (\cos(x)) with respect to (x) is a fundamental concept in calculus. The derivative of (\cos(x)) is given by: \[\frac{d}{dx}(\cos(x)) = -\sin(x).\] This result is derived from the limit definition of the derivative and is a key part of the differentiation rules for trigonometric functions. The negative sine function, $-\sin(x)$, represents the rate
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Number 54 is a composite number and we will find how to find the factors of 54. We will also see techniques to find out the Prime factorization of 54 easily Factors of 54 A factor of a number is an exact divisor of that number. So factors of 54 are the numbers which are
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Number 40 is a composite number and we will find how to find the factors of 40. We will also see techniques to find out the Prime factorization of 40 easily Factors of 40 A factor of a number is an exact divisor of that number. So factors of 40 are the numbers which are
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Number 56 is a composite number and we will find how to find the factors of 56. We will also see techniques to find out the Prime factorization of 56 easily Factors of 56 A factor of a number is an exact divisor of that number. So factors of 56 are the numbers which are
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The integration of sec cube x $\sec ^3 x$, can be found using integration substitution and trigonometry identities . The integral of $\sec ^3 x$ with respect to (x) is: \[\int \sec^3 x \, dx =\frac {1}{2} \sec x \tan x +\frac {1}{2} \ln |sec x + tan x|+ C\] Here, (C) represents the constant
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The integration of cos cube x $\cos ^3 x$, can be found using integration substitution and trigonometry identities . The integral of $\cos ^3 x$ with respect to (x) is: \[\int \cos^3 x \, dx =\frac {\sin 3x}{12} + \frac {3\sin x}{4} + C\] or \[\int \cos^3 x \, dx =-\frac{\sin^3(x)}{3} + \sin(x) + C\]
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