What is Integral of Tan x?
Integration of tan x is ln |sec x| + C or -ln |cos x| + C. There can be both indefinite and definite integrals of tan x with respect to x. The Indefinite Integral is represented as ∫tan x dx and the definite integral of tan x is given as [Tex]\int_a^btan\ x\ dx [/Tex] Tan x is an integrable function. Tan is one of the six trigonometric functions in maths. The domain of tan x is all real numbers except odd multiples of π/2 and the range of tan x is all real numbers. Hence, tan x is continuous at all values of Real numbers except π/2. Hence, the trigonometric function tan x is integrable in its domain only which consists of all the Real Numbers except odd Multiples of π/2.
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Integral of Tan x
Integral of tan x is ln |sec x| + C. Integral of tan x refers to finding the integration of the trigonometric function tan x with respect to x which can be mathematically formulated as ∫tan x dx. The tangent function, tan x, is an integrable trigonometric function that is defined as the ratio of the sine and cosine functions.
This article discusses the formula for the integral of tan x along with derivation, definite integral of tan x, and integral of tan inverse x. We will also discuss some solved examples based on the integral of tan x along with Practice Questions and FAQs.
Table of Content
- What is Integral of Tan x?
- Integral of Tan x Formula
- How to do Integration of tan x dx?
- Definite Integral of Tan x
- Integration of Tan Inverse x
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