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 […]

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

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