Integration of tan x dx is equal to log sec x + C. Get the formula, derivation of integral of tan x with respect to x, along with examples on integration tan x, here at BYJU’S.

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The derivative of tan x with respect to x is the square of sec x. i.e., d/dx (tan x) = sec^2 x. Learn the derivative of tan x along with its proof and also see some examples using the same.

Here you will learn proof of integration of tanx or tan x and examples based on it. The integration of tanx is – log |cos x| + C or log |sec x| + C. i.e. ∫ ∫ (tanx) dx = – log |cos x| + C or, ∫ ∫ (tanx) dx = log |sec x| + C. Let I = ∫ ∫ (tan x) dx. Then, I = ∫ ∫ sinx cosx s i n x c o s x dx. Let cos x = t. Then, d (cos x) = dt -sin x dx = dt.

Jul 26, 2024 · 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.

1. Proof. Strategy: Make in terms of sin's and cos's; Use Subtitution. u = cos x. 2. Alternate Form of Result.

Mar 27, 2023 · The formula for integral of tanx is given by [latex] {\int}tan (x)dx = log (\frac {1} {cos (x)})+c [/latex] OR [latex] {\int}tan (x)dx = log (sec (x))+c [/latex].

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Mar 30, 2024 · It is denoted by ∫ (Tan x) dx, which means the integration/integral of Tan x with respected to x. The integration of Tan x gives us Sec x in its result. The formula for Tan x is given by: Tan x = perpendicular/base = Sin x/Cos x. where, x is the angle in consideration.

Jan 26, 2023 · The integration of tanx is -ln|cosx| or ln|secx|, where ln denotes the natural logarithm, that is, logarithm with base e. Here we will learn how to find the integral of tanx dx.