NettetRésolvez vos problèmes mathématiques avec notre outil de résolution de problèmes mathématiques gratuit qui fournit des solutions détaillées. Notre outil prend en charge les mathématiques de base, la pré-algèbre, l’algèbre, la trigonométrie, le calcul et plus encore. Nettettanx= sec2 x, we notice that we want to keep a factor of sec2 xand turn everything else into tangents: Z sec6 xdx= Z sec4 xsec2 xdx = Z (sec2 x)2 sec2 xdx = Z ... when x!1, so does u, so the integral becomes: Z 1 2 dx (3x 4)2 = Z 1 2 du 3u2 14. and since the latter converges by the ptest with p= 2 >1, our original integral converges as well.
Evaluate the Integral integral of 3sec(x)tan(x) with respect to x
NettetLearn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(tan(x)sec(x)^2)dx. We can solve the integral \int\tan\left(x\right)\sec\left(x\right)^2dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a … Nettet3 Another method would be to note that tan x sec 3 x = ( tan x sec x) ( sec 2 x) and that the differential of sec x is tan x sec x. A method called spotting the presence of the derivative. Jun 3, 2012 at 17:30 Detailed steps here. Dec 13, 2024 at 21:19 Add a comment 2 Answers Sorted by: 4 You missed a − sign in the denominator. marwell charity
Evaluate the integral: ∫tan x sec^4x dx - Sarthaks
NettetTo integrate, use u-substitution method. Let, Differentiate u. Replacing the x variable in the above integral with u yields, Use the power formula of integral which is . Then, substitute... Nettet23. okt. 2015 · Explanation: Rewrite the integrand using tan2x = sec2x − 1. Let's give the integral we want the name I I = ∫tan2xsec3xdx = ∫(sec5x −sec3x)dx Next we'll integrate sec5x by parts. ∫sec5xdx = ∫sec3xsec2xdx Let u = sec3x and dv = sec2xdx. Then du = 3tanxsec3xdx and v = tanx We get ∫sec5xdx = sec3xtanx − 3∫tan2xsec3xdx Again, use … NettetFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. huntington bank promotional code