Maths

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

Integration of cosec 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 cosec x are I \[\int \csc(x) \, dx = \ln | \csc(x) – \cot(x) | + C\] II \[\int \csc(x) \, dx = -\ln | \csc(x)

The integral of the sine function, $ \sin x$, can be found using basic calculus principles. The integral of $\sin x$ with respect to (x) is: \[\int \sin x \, dx = -\cos x + C\] Here, (C) represents the constant of integration, which is added because the process of integration determines the antiderivative up