NettetFind the Integral tan (x)sec (x)^2 tan (x) sec2 (x) tan ( x) sec 2 ( x) Let u = sec(x) u = sec ( x). Then du = sec(x)tan(x)dx d u = sec ( x) tan ( x) d x, so 1 sec(x)tan(x) du = dx 1 sec … NettetWithout secants and cosecants it’s easy as well (I’d say easier): the integral is ∫ 1 cos x cos 2 x sin 2 x d x = ∫ cos x sin 2 x d x = − 1 sin x + c because we can observe that it’s of the form ∫ 1 u 2 d u where u = sin x. 1 Mohammad Afzaal Butt B.Sc in Mathematics & Physics, Islamia College Gujranwala (Graduated 1977) 1 y ∫ sec x tan 2 x d x
What is the Integral of tan^2(x)sec(x)? Socratic
Nettetusing substitution, u=tan (x) and du= sec^2 (x) dx U can integrate normally from there and substitute tan (x) back in, you'll get (1/3)tan^3 (x) + c indeed. op look out for situations where you are integrating f' (x)g (f (x)) all such cases can be solved with the substitution u=f (x) (they can also be done by considering Integral g (f (x)) df (x)) Nettet7. sep. 2024 · Integrating Products and Powers of sin x and cos x A key idea behind the strategy used to integrate combinations of products and powers of \(\sin x\) and \(\cos x\) involves rewriting these expressions as sums and differences of integrals of the form \(∫\sin^jx\cos x\,dx\) or \(∫\cos^jx\sin x\,dx\). mobile homes of spartanburg
Find the Integral sec(2x)tan(2x) Mathway
NettetTranscribed Image Text: Find the derivative. tan x y=2x-3 dy A) dx = (2x - 3)secx tan x - 2tan x (2x - 3)2 dx dy B) dx D) (2x-3)sec2x - 2tan x (2x - 3)2 dy_sec²x - 2tan x (2x - 3)2 dx dy dx (2x-3)csc2x - 2tan x (2x - 3)2. ... Integrate … NettetIntegral tan^2(x)sec(x)powers of secant and tangent About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works … NettetIntegrate: ∫ ( sec x + tan x) ⋅ sec 2 x d x My attempt : I substituted sec x + tan x as t 2 Then, ( sec x ⋅ tan x + sec 2 x) d x = 2 t d t sec x ( tan x + sec x) d x = 2 t d t sec x ⋅ t 2 d x = 2 t d t But there is sec x left outside. integration Share Cite Follow edited Aug 19, 2014 at 3:25 Vincent 2,273 2 29 55 asked Aug 19, 2014 at 3:07 mobile homes on long island ny