Integration of Tan Inverse x

The indefinite integration of tan inverse x with respect to x can be calculated using the integration by parts method. The formula for the integration of tan inverse x with respect to x is given as

∫ tan^-1x dx = x tan^-1x – (1/2) ln |1 + x²| + C

(Note: Derivation for the above formula can be seen further in the Solved Example 4.)

Also, Check

Integration of Cos x
Integration of Sec x
Integral of Cot x
Integration Formulas
Antiderivatives
Area Under Curve

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.

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