integral of 2 sec 2x tan x Free integral calculator solve indefinite definite and multiple integrals with all the steps Type in any integral to get the solution steps and graph
Answer link 1 3tan 3x C Suppose that I intsec 2xtan 2xdx If we subst tanx y then sec 2xdx dy I inty 2dy y 3 3 1 3tan 3x C This gives us tan2xsec2xdx u2du Performing this integration yields u3 3 C and since u tanx this becomes tan3x 3 C Answer link tan 3x 3 C When working with integrals of tangent and secant it may not always be apparent what to do
integral of 2 sec 2x tan x
integral of 2 sec 2x tan x
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Integral Of Sec 2 x tan x Integral Example YouTube
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Integral Of Tan x sec 2 x Calculus 1 U Substitution YouTube
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Explanation You can also see this this way sec2xtanxdx secx secxtanx dx If u secx then du secxtanxdx so udu u2 2 sec2x 2 C This is equivalent to the other answer of tan2x 2 C because tan2x and sec2x are only a constant away from one another through the equality tan2x 1 sec2x Answer link 105 6 7K views 3 years ago U Substitution In this video we are integrating a trigonometric integral of secant and tangent Here we have a product of even powers of secant and tangent The
I m revising for an exam and came across this question I tan2x secxdx I tan 2 x sec x d x and I got to a point where I just ended up with the original question I sec3x sec xdx I sec 3 x sec x d x I sec xsec2 xdx sec xdx I sec x sec 2 x d x sec I udv dxdx sec xdx I u d v d x d x sec x d x Free Online Integral Calculator allows you to solve definite and indefinite integration problems Answers graphs alternate forms Powered by Wolfram Alpha
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Integral of tan 2 x sec x calculus 2 tutorial YouTube blackpenredpen 1 2M subscribers 1 3K 136K views 7 years ago Calculus Sect 7 5 Integrals integral of sec 3x 3 int sec 2x tan 2x dx tan 2x c So simply divide by 3 to get your answer int sec 2x tan 2x dx frac tan 2x 3 frac c 3 Note that as c is an real number we could replace frac c 3 with c 2 to write the answer more neatly as int sec 2x tan 2x dx frac tan 2x 3 c 2
2 Use integration by parts with u x2 and v tan2 x Then we have 2x2tan x sec2 x dx x2tan2 x 2 xtan2 x dx Continue with a subsequent integration by parts with u x and v tan x x to obtain Explanation I tan2 x sec x dx Let tan2 x sec2 x 1 which comes from the Pythagorean identity I sec2 x 1 sec x dx sec3 x dx sec x dx The integral of sec x is well known I sec3 x dx ln sec x tan x The integral of sec3 x can be found through integration by parts with u sec x and dv sec2 x dx at this link
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integral of 2 sec 2x tan x - Integral Applications Limit of Sum Area under curve Area between curves frac 3 2 n tangent of f x frac 1 x 2 1 1 Show More Description Calculate limits integrals derivatives and series step by step calculus calculator int tanx sec 2 x dx en Related Symbolab blog posts Advanced Math Solutions Ordinary