Integral Of Sec 3X Tanx at Collection Of Questions And Answers

Integral Of Sec 3X Tanx. Let n ≥ 10 be a positive integer. We know that the integration of sec x tan x is sec x + c and the integral of sec 2 x is tan x + c.

How to integrate 2x sec^3 (x^2 +3) tan (x^2 +3) Quora
How to integrate 2x sec^3 (x^2 +3) tan (x^2 +3) Quora from www.quora.com

Here, we see that we can write sec 3x(tanx) as sec. This is also known as the antiderivative of sec x. Integral of tan(x)*sec^3(x), tan sec approach

How to integrate 2x sec^3 (x^2 +3) tan (x^2 +3) Quora

Sec2 x dx = dt. I=∫sec 3xdxintegrating by parts, we haveu=secx, dv=sec 2xdx⇒du=secxtanxdx , ⇒v=tanx=secxtanx−∫secxtan 2xdx=secxtanx−∫secx(sec 2x−1)dx=secxtanx−∫sec. Finding $\int \sec^2 x \tan x \, dx$, i get $\frac12\sec^2x+c$, but an online calculator gets. We know that the integration of sec x tan x is sec x + c and the integral of sec 2 x is tan x + c.