Integrate x^2 sin y dx dy, x=0 to 1, y=0 to pi; · Integral tan^2(x)sec(x)powers of secant and tangentTo integrate 2sec^2x tanx, also written as ∫2sec 2 x tanx dx, 2 sec squared x tan x, and 2 (sec x)^2 tanx, we start by recognising that the differential of one
Integral 2
Integral of tan^2(x)sec^3(x)
Integral of tan^2(x)sec^3(x)-∫{sec^2 x / (sec x tan x)^9/2} dx = (for some arbitrary constant c)Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields It only takes a minute to sign up
It is not true that tan x = sec2 x However, you can see from the graph in Figure 1 that your two answers may only differ\\int \tan^{2}x\sec{x} \, dx\ > · Hey again Question Use the identity sec^2 x=tan^2 x 1 and the substitution tanx=u to find INT tan^4 x dx please help me step by step this has been frying my head!!!!This is simple math\displaystyle \int \tan ^2\left(2x\right)dx/math Sincemath \tan ^2\left(x\right)=1\sec ^2\left(x\right) \displaystyle =\int \1\sec ^2 · Let u =tan x du = sec^2 x dx Then the integral becomes ∫du/u^2 = 1/u C = cot x C Derivative at a point;Dave's Math Tables Integral tan(x) (Math Calculus Integrals Table Of tan x) Discussion of tan x = lncos x C 1 Proof Strategy Make in terms of sin's and cos's;Free PreAlgebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators stepbystep Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music WolframAlpha brings expertlevel knowledge and capabilities to the broadest possible · First, get everything in terms of sec(x) tex\int sec^5(x)tan^2(x)dx = \int sec^7(x) sec^5(x)dx = \int sec^7(x)dx \int sec^5(x)dx /tex Use integration by parts on both integrals on the right For the first u = sec 5 (x) and dv = sec 2 (x) dx For the second integral, u = sec 3 (x) and dv = sec 2 (x) dxCos x dx=dt mathI=\int \tan^2x \sec^3 x dx=\int \frac{\sin^2 x}{ \cos^5 x }dx=\int \frac{t^2} {(1t^2)^3} dt/math Now let us use partial fractions Now, we can recognise sec^2 (x) as the derivative of tan (x) (you can prove this using the quotient rule and the identity sin^2 (x) cos^2 (x) = 1), while we get x when we integrate 1, so our final answer is tan (x) x c Answered by Warren L • Maths tutor/02/16 · integral of sec^3x https//wwwyoutubecom/watch?v=6XlSP58uisintegral of sec(x) https//wwwyoutubecom/watch?v=CChsIOlNAB8integral of tan^2x*secxintegralIntegral Calculator integral of tan^2(x) Derivatives First Derivative; Evaluate the given integral We do this knowing that a substitution would help us integrate this problem First, we apply the trigonometric identity of {eq}\displaystyle \sec^2 x = 1\tan^2 x {/eq} · textan^2(x) = sec^2(x) 1/tex The Attempt at a Solution First I split it up into (32) tex\int tan^3(x)tan^2(x) dx/tex Using the identity for tangent squared tex\int tan^3(x)(sec^2(x) 1) dx/tex Distributing the tan cubed tex\int tan^3(x)sec^2(x)tan^3(x) dx/tex Braking it into two integrals tex\int tan^3(x)sec^2(x) dx \int tan^3(x) dx/tex For · Ex 74, 9 sec 2 tan 2 4 Let tan = Diff both sides wrt x sec 2 = = sec 2 Integrating the function sec 2 tan 2 4 Putting value of tan = and = sec 2 = sec 2 t Tan2 x c 2 b) Compute tan x sec 2 x dx by substituting v = sec x If v = sec x then dv = sec x tan x dx and tan x sec 2 x dx = sec x(tan x sec x dx) = v dv = 1 v 2 C 2 = 1 sec 2 x C 2 c) Compare the two results At first glance you may 2think you made a mistake;Here are some examples illustrating how to ask for an integral integrate x/(x1) integrate x sin(x^2) integrate x sqrt(1sqrt(x)) integrate x/(x1)^3 from 0 to infinity; · #I=inttan^2(x)sec(x)dx# Let #tan^2(x)=sec^2(x)1# which comes from the Pythagorean identity #I=int(sec^2(x)1)sec(x)dx=intsec^3(x)dxintsec(x)dx# The integral of #sec(x)# is well known #I=intsec^3(x)dxln(abs(sec(x)tan(x)))# The integral of #sec^3(x)# can be found through integration by parts with #u=sec(x)# and #dv=sec^2(x)dx# at this linkYou can also see how to integrate #sec(x Integral of tan(2*x) by x log(sec(2*x))/2 Attentionlog natural logarithm Draw graph Edit expression Direct link to this page Value at x= Integral Calculator computes an indefinite integral (antiderivative) of a function with respect to a given variable using analytical integration It also allows to draw graphs of the function and its integral Please remember that the computedGet an answer for '`int tan^2(x) sec(x) dx` Evaluate the integral' and find homework help for other Math questions at eNotes We've discounted annual subscriptions by 50% for COVID19 relief$$\int sec^2x \tan^2x dx = tan^2x 2\int \sec^2x \tan^2x dx$$ You can move the $ 2\int \sec^2x \tan^2x dx$ to the left hand side of the equation by addition $$\int \sec^2x \tan^2x dx 2\int \sec^2x \tan^2x dx= tan^2x c, c\in\mathbb{R}$$ Note that once we have a side without an integral on it you need to include a constant of integration I · The following is a list of integrals (antiderivative functions) of trigonometric functionsFor antiderivatives involving both exponential and trigonometric functions, see List of integrals of exponential functionsFor a complete list of antiderivative functions, see Lists of integralsFor the special antiderivatives involving trigonometric functions, see Trigonometric integralHigher Order Derivatives ;You can not integrate tan 2 x but you can integrate sec 2 x Since sec 2 x = 1 tan 2 x Then tan 2 x = sec 2 x1 so the intragral of tan 2 x dx = the integral of (sec 2 x1) dx = intrgral of sec 2 x dx integral of 1 dx = tanxx C Answered by Nandini P • Maths tutor Views See similar Maths A Level tutors Need help with Maths?One to one online tuition can be a great way to Integrate 1/(cos(x)2) from 0 to 2pi;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 dx = (1) sin x dx cos x = du u Solve the integral = ln u C substitute backSolution for The integral of tan^2 (x) sec^4 (x) dx Social Science Anthropology View more examples » Access instant learning tools Get immediate feedback and guidance with stepbystep solutions and WolframSincetan 2x1=sec x,wehavetan2x=sec2x−1and Z sec3xdx=secxtanx− Z sec3x−secxdx=secxtanxlnsecxtanxC− Z sec3xdx whereweused R secxdx=lnsecxtanxC Nowmovingthe R sec3xdxfromtherighthand sidetothelefthandside 2 Z sec3xdx=secxtanxlnsecxtanx C ⇒ Z sec3xdx= 1 2 secxtanx1 2 lnsecxtanx CI am trying to find the integral of $$\int \tan x \sec^3 x dx$$ $$\int \tan x(1\tan^2 x)\sec x\, dx$$ This gets me nowhere since I get a $\sec^2 x$ derivative with tan substitution so I try some Specify Method (new) Chain Rule;
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