Integral of tan 5x sec 3x
NettetThe integral now appears on both sides of the equation and we can solve for it obtaining a reduction formula: #int sec^5x dx = 1/4 (tanxsec^3x + 3int sec^3x dx)# Solve now the resulting integral with the same procedure: #int sec^3x dx = int secx d (tanx)# #int sec^3x dx = tanxsecx - int tanx d (secx)# #int sec^3x dx = tanxsecx - int tan^2x secx dx# NettetFree Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step
Integral of tan 5x sec 3x
Did you know?
Nettet14. jan. 2024 · Explanation: Split up tan3(x) into tan2(x)tan(x) then rewrite tan2(x) using the identity tan2(θ) +1 = sec2(θ) ⇒ tan2(θ) = sec2(θ) − 1. ∫tan3(x)dx = ∫tan2(x)tan(x)dx = ∫(sec2(x) −1)tan(x)dx Distribute: = ∫sec2(x)tan(x)dx −∫tan(x)dx For the first integral, apply the substitution u = tan(x) ⇒ du = sec2(x)dx, both of which are already in the integral. NettetWolfram Alpha is a great tool for calculating antiderivatives and definite integrals, double and triple integrals, and improper integrals. The Wolfram Alpha Integral Calculator … Examples for. Integrals. Integrals come in two varieties: indefinite and definite. …
Nettetintegral of sec^2(3x)tan^2(3x)の詳細な解答 NettetSolution Verified by Toppr Correct option is C) ∫sec 2(3x+5)dx let 3x+5=t 3dx=dt dx= 1/ 3dt ∫sec 2t⋅ 31⋅dt = dfrac13∫sec 2t⋅dt = 31(tant)+c = 31(tan(3x+5))+c ∫sec 2(3x+5)dx= 31(tan(3x+5))+c Solve any question of Integrals with:- > Was this answer helpful? 0 0 ∫x 6+13x 2 dx Medium View solution ∫e xsece xtane xdx= Medium Integrals 9 10 8 10
Nettet27. jul. 2024 · Calculus Techniques of Integration Integration by Trigonometric Substitution 2 Answers Harish Chandra Rajpoot Jul 27, 2024 tan6(2x) 12 + C Explanation: Let tan(2x) = u ⇒ 2sec2(2x) dx = du ∴ ∫tan5(2x)sec2(2x) dx = ∫u5 du 2 = 1 2 ∫u5 du = 1 2 ⋅ u6 6 + C = tan6(2x) 12 + C Answer link Kha L. Jul 27, 2024 tan6(2x) 12 + c Explanation: NettetAnswer and Explanation: 1 Given the integral: ∫ tan5 xsec3 x dx ∫ tan 5 x sec 3 x d x We recall that: tan2 x = sec2 x−1 tan 2 x = sec 2 x − 1 We substitute this into our integral: ∫...
NettetThe Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It …
Nettet30. mai 2014 · Integration of tan^3 x sec^3 x Rajendra Dahal 9.63K subscribers Subscribe Share 65K views 8 years ago Calc II: Trigonometric Integrals Comments are … iothink logoNettetIntegral tan^5 (x)sec^3 (x) The Math Sorcerer 24K views 4 years ago Integration by Parts the Integral of e^ (4x)*cos (3x) The Math Sorcerer 29K views 7 years ago Ejercicio 142 ... onvo 55f900NettetHere you will achieve the first one by making two of the factors of tangent into secants: ∫ tan ( x) 3 sec ( x) 3 d x = ∫ sec ( x) 5 tan ( x) d x − ∫ sec ( x) 3 tan ( x). Now each of … onvo 65f950Nettet17. nov. 2024 · answered Nov 17, 2024 by Jay01 (39.7k points) selected Nov 18, 2024 by Vikash Kumar. Best answer. Let I = ∫ sec3 x dx. = ∫ (sec2 x .sec x) dx. = sec x ∫ sec2 x dx – ∫ (sec x .tan x .tan x) dx. = sec x ∫ sec2 x dx – ∫ (sec x .tan2 x) dx. = sec x. tan x – ∫ (sec x (sec2 x – 1)) dx. = sec x. tan x – ∫ sec3 x dx + ∫ sec ... onvo 43 inç smart tv a101Nettet7. sep. 2024 · In this section we look at how to integrate a variety of products of trigonometric functions. These integrals are called trigonometric integrals.They are an … onvo 43f900Nettet14. sep. 2012 · Calculate the following integral: ∫ sec^4 (3x)/ tan^3 (3x) dx For this one, can I bring up the tan to tan^-3? asked by Robert September 14, 2012 2 answers yes, so you have ∫sec^4 (3x)* tan^-3 (3x) dx ∫sec^2 (3x)* (tan^2 (3x)+1)*tan^-3 (3x) dx Now let u = tan (3x) du = 3sec^2 (3x) dx ∫1/u + 1/u^3 du/3 = 1/3 ln (u) - 1/6 u^-2 onvo bein connectNettet13. mar. 2024 · answered Mar 13, 2024 by Prerna01 (52.4k points) selected Mar 13, 2024 by RahulYadav. Best answer. Suppose I = ∫tan3x sec2 x dx. Suppose tan x = t, now. … iot historian