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Integration of sec x can be found using various integration technique like integration by substitution, Integration by partial fraction along with trigonometric identities. The various formula for integration of sec x are I \[\int \sec(x) \, dx = \ln | \sec(x) + \tan(x) | + C\] II \[\int \sec(x) \, dx = -\ln | \sec(x) […]
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Integration of tan x can be found using various integration technique like integration by substitution along with trigonometric identities. The formula for integration of tan x is \[\int \tan(x) \, dx = \ln |sec(x)| + C\] Proof of the Integration of tan x Integration of tan x can be solved using integration by substitution as
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Number 45 is a composite number and we will find how to find the factors of 45. We will also see techniques to find out the Prime factorization of 45 easily Factors of 45 A factor of a number is an exact divisor of that number. So factors of 45 are the numbers which are
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Number 24 is a composite number and we will find how to find the factors of 24. We will also see techniques to find out the Prime factorization of 24 easily Factors of 24 A factor of a number is an exact divisor of that number. So factors of 24 are the numbers which are
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Differentiating trigonometric functions is a fundamental concept in calculus. Here’s a quick guide to the derivatives of the basic trigonometric functions. Assume that x is a variable and all functions are differentiable. Differentiation of Trigonometric Functions Important formula to find the derivative$\frac {d}{dx} f(x) =\displaystyle \lim_{h \to 0} \frac {f (x+h) – f(x)}{h}$$\displaystyle \lim_{x \to
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The integration of the greatest integer function, often denoted as [x], where x is a real number, can be a bit tricky because the function is not continuous. The greatest integer function returns the largest integer less than or equal to x. For example,[1.2] = 1[-1.1] = -2[4.5]=4[.5]=0[-.2]=-1[2]=2 Integration of greatest integer function To integrate
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Integrating trigonometric functions often involves using various integration techniques, including basic integration formulas, substitution, integration by parts, and trigonometric identities. Here’s a brief overview of some common integrals of trigonometric functions: Basic Trigonometric Integrals Integrals of Tangent and Cotangent This can be solved using Integration by substitution (I) \[\int \cot(x) \, dx = \int \frac
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Integration of cot x can be found using various integration technique like integration by substitution along with trigonometric identities. The formula for integration of cot x is \[\int \cot(x) \, dx = \ln |sin(x)| + C\] Proof of the Integration of cot x Integration of cot x can be solved using integration by substitution as
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