tan x integration formula 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
The integration of tan x is ln cos x C Know to evaluate the integration of tan x through examples The integration of a function f x is given by F x and it is represented by f x dx F x C Here R H S of the equation means integral f x with respect to x F x is called anti derivative or primitive f x is called the integrand dx is called the integrating agent
tan x integration formula
tan x integration formula
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For the first integral use the substitution u tan x For the second integral use the formula 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 Proof 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 dx dt sinx d t s i n x
It is also known as the integral of trigonometric function Tan x 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 Integral of Tan x Formula The integral of tan x can be summarized by the following formulas tan x dx ln cos x C tan x dx ln sec x C These formulas provide the general antiderivative of tan x and can be used to solve a wide range of problems involving the integral of tan x Integral of Tan x Proof
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Integral tan x Math Calculus Integrals Table Of tan x Discussion of tan x ln cos x C 1 Proof Strategy Make in terms of sin s and cos s Use Substitution tan x dx sin x COs x Integration of tan x can be found using various integration technique like integration by substitution along with trigonometric identities The formula for integration of tan x is int tan x dx ln sec x C
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tan x integration formula - 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 Proof 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 dx dt sinx d t s i n x