Nettet3 The key facts for tangent and secant product integrals are that the derivative of tan ( x) is sec ( x) 2 and the derivative of sec ( x) is sec ( x) tan ( x). So the situation is good if you have only one factor of tangent or if you have two factors of secant. Nettet18. mai 2024 · Evaluate the following integrals : \(\int tan^{-1}(\frac{3x-x^3}{1-3x^2})\)dx. Welcome to Sarthaks eConnect: A unique platform where students can interact with …
Evaluate the following integrals : ∫ tan^(-1)((3x-x^3)/(1-3x^2))dx ...
Nettettan 3 x sec 3 / 2 x = ( 1 − cos 2 x) sin x cos − 9 / 2 x so that we have ∫ tan 3 x sec 3 / 2 x d x = ∫ ( cos − 9 / 2 x − cos − 5 / 2 x) sin x d x = 2 7 cos − 7 / 2 x − 2 3 cos − 3 / 2 x + C Share Cite Follow answered Jul 2, 2015 at 18:11 Mark Viola 173k 12 138 239 Add a comment You must log in to answer this question. NettetThe answer is (1/3)ln sec (3x) . Tan (x)=sec (x)tan (x)/sec (x), and you know what the derivative of sec (x) is. Michael C Palau. Author has 1.5K answers and 466.3K answer … high country agency
How do you differentiate #y=tan^-1(3x)#? - Socratic.org
NettetSoluciona tus problemas matemáticos con nuestro solucionador matemático gratuito, que incluye soluciones paso a paso. Nuestro solucionador matemático admite matemáticas básicas, pre-álgebra, álgebra, trigonometría, cálculo y mucho más. Nettet30. mar. 2024 · Ex 7.3, 16 - Chapter 7 Class 12 Integrals (Term 2) Last updated at March 30, 2024 by Teachoo. Get live Maths 1-on-1 Classs - Class 6 to 12. Book 30 minute class for ₹ 499 ₹ 299. Transcript. Show More. Next: Ex 7.3, 17 → Ask a doubt . Chapter 7 Class 12 Integrals; Serial order wise; Nettet23. okt. 2016 · Integral of tan^3 (x) (trigonometric identities + substitution) Integrals ForYou 107K subscribers Subscribe 186 Share 19K views 6 years ago Integration by substitution … how far to cut back crepe myrtles