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Integration of tan x

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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Differentiation of trigonometric functions

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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Integration of greatest integer function

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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Integration of trigonometric functions

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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