what is the integral of tanx

what is the integral of tanx Free integral calculator solve indefinite definite and multiple integrals with all the steps Type in any integral to get the solution steps and graph integral calculator int tanx dx en Related Symbolab blog posts Advanced Math Solutions Integral Calculator integration by parts Part II

This calculus video tutorial explains how to find the integral of tanx as well as the antiderivative of cotx using u substitution Calculus 1 Final Exam Revie Integral of tan x dx integral sin x cos x dx U 1 cos x dU dx sin x cos x 2 cos x dU sin x cos x dx 1 U dU sinx cosx dx so integral sin x cos x dx integral 1 U dU ln U c ln 1 cos x C where i m making mistake

what is the integral of tanx

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what is the integral of tanx
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What Is Integration of Tan X The integration of tan x is ln cos x C or ln sec x C The function f x tan x is continuous at all real numbers except x 2n 1 2 The domain of the function range of the function tan x except for the odd multiples of 2 Hence tan x is integrable except for that interval with respect to x U Solve the integral ln u C substitute back u COs x ln COs x C Q E D 2 Alternate Form of Result tan x dx ln COs x C ln COs x 1 C ln sec x C Therefore tan x dx ln COs x C ln sec x C Free math lessons and math homework help from basic math to algebra geometry and beyond

In mathematical form the integration of tanx is int tan x dx ln sec x c 2 lt p Where c is any constant involved dx is the coefficient of integration and is the symbol of the integral The above formula can also be used to solve the integral of tan 2x by using different integration techniques Math2 Math Tables Math Dave s Math Tables 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 Subtitution tan x dx sin x cos x dx set u cos x then we find du sin x dx substitute du sin x u cos x sin x cos x

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tan x dx sin x dx cos x If you re working an integral like this and you see a trig function it s good to look around and see if you can also find the derivative of that trig function We make the substitution u cos x du sin x dx and rewrite our integral as tan x dx sin x dx cos x du To convert this integral to integrals of the form displaystyle cos jx sin x dx rewrite sin 3x sin 2x sin x and make the substitution sin 2x 1 cos 2x Thus displaystyle begin align cos 2x sin 3x dx cos 2x 1 cos 2x sin x dx text Let u cos x text then du sin x dx 4pt

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