integral of sec 2x tan 2x dx 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
You can move the 2 sec2xtan2xdx to the left hand side of the equation by addition sec2xtan2xdx 2 sec2xtan2xdx tan2x c c R Note that once we have a side without an integral on it you need to include a constant of integration I have used c Replace all occurrences of u2 u 2 with sec 2x sec 2 x 1 2sec 2x C 1 2 sec 2 x C Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor
integral of sec 2x tan 2x dx
integral of sec 2x tan 2x dx
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Integration Of Sec 2x tanx Brainly in
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What Is The Integral Of tanx Sec 2x 1 tan 2x Math Central Quora
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In the integral inttan 2xsec 2xdx let u tanx and du sec 2xdx This gives us inttan 2xsec 2xdx intu 2du Performing this integration yields u 3 3 C and since u tanx this becomes tan 3x 3 C How do you integrate sec 2x tan 2xdx Calculus Techniques of Integration Integration by Trigonometric Substitution 1 Answer Gi Feb 21 2015 I would write the integral as sec 2x tan 2x dx 1 cos 2x sin 2x cos 2x dx we can see that d cos 2x
I am trying to compute int sec 2 x tan x dx I substituted u sec 2 x to get the integral as frac sec 4x 2 as my answer but according to the textbook I am using I m wrong Can anyone help me with the correct answer To build on Ian s answer you may find it easier to integrate 2 sec 3 x dx instead of just sec 3 x dx Hint as to why this might be easier sec x tan 2x
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We can solve the integral int sec left 2x right tan left 2x right dx by applying integration by substitution method also called U Substitution First we must identify a section within the integral with a new variable let s call it u which when substituted makes the integral easier Free integral calculator solve indefinite definite and multiple integrals with all the steps Type in any integral to get the solution steps and graph
Let u sec x frac du dx sec x tan x and frac dv dx sec 2x v tan x I uv int v frac du dx dx int sec x dx I sec x tan x int tan x sec x tan x dx ln sec x tan x I sec x tan x int tan 2x sec x dx ln sec x tan x du dx sec 2 x dx Let s turn this derivative into a differential by multiplying both sides by dx du sec 2 x dx We see du appears in our integral therefore this substitution works We replace tanx with u and sec 2 x dx with du inttanxsec 2 x dx intudu
What Is The Integral Of Sec 2 x Epsilonify
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Solved Evaluate The Following Integral Sec 2x Tan 2x Dx Sec Chegg
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integral of sec 2x tan 2x dx - Explanation Let s rewrite the integrand secx tan2x dx 1 cosx sin2x cos2x dx cosx sin2x Here recognize that cosx sin2x dx cosx sinx 1 sinx dx cotxcscxdx cscx C Another way we can solve cosx sin2x dx is by letting u sinx so du cosxdx Then