Nettet14. apr. 2024 · INTEGRAL TAK TENTU Pengertian Integral Tak Tentu Integral tak tentu atau disebut dengan anti-turunan adalah bentuk operasi pengintegralan yang … NettetNow Using ( sec x − tan x) = t and ( sec x + tan x) = 1 t Using ( sec 2 x − tan 2 x) = 1 So 2 sec x = t + 1 t = t 2 + 1 t So Integral I = − ∫ t 2 + 1 t 2 d t = − t + 1 t + C So I = ∫ sec x + tan x ⋅ sec 2 x d x = − ( sec x − tan x) + 1 ( sec x − tan x) + C = − ( sec x − tan x) + ( sec x + tan x) + C = 2 tan x + C Share Aug 19, 2014 at 3:32
Integral of tan(x)^2sec(x) - Answer Math Problem Solver - Cymath
Nettet12. mar. 2024 · selected Mar 13, 2024 by RahulYadav. Best answer. First of all convert sec x in terms of cos x. As we know. sec x = 1/cos x, sec 2x = 1/cos 2x. So, the above equation becomes, So, we can write the equation as. ← Prev Question Next Question →. NettetFree Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step assal 2021
Evaluate: intsec^2xdx/(secx + tanx)^10dx - Toppr
Nettetx d x in the integral, and substitute u= tanx, u = tan x, du = sec2xdx d u = sec 2 x d x and sec2x = 1+tan2x= 1+u2. sec 2 x = 1 + tan 2 x = 1 + u 2. See Example 1.8.14. When m m is even and n = 0 n = 0 — that is the integrand is just an even power of tangent — we can still use the u = tanx u = tan x substitution, after using tan2x= sec2x−1 tan 2 Nettet4. okt. 2016 · Explanation: When working with integrals of secant and tangent, it's important to remember the following: d dx tanx = sec2x d dx secx = secxtanx Here, we see that we can write sec3x(tanx) as sec2x(secxtanx), which is perfect, since it composed of sec2x and the derivative of secant, secxtanx. NettetSolution Verified by Toppr =∫(sec 2x+2secxtanx+tan 2x)dx =∫(2sec 2x+2secxtanx+1)dx = 2tanx+2secx+x+C Solve any question of Integrals with:- Patterns of problems > Was this answer helpful? 0 0 Similar questions Solve : ∫sec 2xtanxdx Medium View solution > ∫sec nxtanxdx is equal to Medium View solution > View more More From Chapter Integrals lalisa pets