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1. ### Integral of sec^3(4x)tan^3(4x)?

Separate the integral to sec (4x) tan (4x) since the derivative of sec x is sec x tan x, we'll need this...change tan^2 into sec^2 - 1 (trigonometry identity) Integral ((sec (4x) tan (4x) sec^2 (4x) (sec^2 (4x) - 1) dx) Use u substitute for sec (4x). Derivative...

3 Answers · Science & Mathematics · 04/12/2011

2. ### difference between sec butyl and isobutyl?

To remember sec-butyl, I always find it helpful to remember what the "sec" actually ...secondary carbon atoms (attached to two other carbons). The sec-butyl group is attached to the parent molecule via one of these "sec...

6 Answers · Science & Mathematics · 07/07/2010

3. ### Can you find (dy/dx) sec(8^x) * tan((1+e^x)/(1-e^x))?

y = sec(8^x) tan [ (1+e^x) /(1-e^x)] Apply the product rule: dy/dx = d/dx sec(8^x) tan [ (1+e^x) /(1-e^x)] + sec(8^x) d/dx... (3) into (2) d/dx tan [ (1+e^x)/(1-e^x)] = sec^2 [ (1+e^x)/(1-e^x)] times -2e^(2x) / (1...

2 Answers · Science & Mathematics · 19/01/2012

sec(2 - 3x)^2 * sin(2 - 3x) / (1 - sec(2 - 3x))^(1/2) => (1/cos(2 - 3x)^2) * sin(2 - 3x) / (1 - 1/cos(2...1/3) * du / ((u + 1)^2 * sqrt(u)) u = tan(t)^2 du = 2 * tan(t) * sec(t)^2 * dt (-1/3) * 2 * tan(t) * sec(t)^2 * dt / ((1 + tan(t)^2)^2...

1 Answers · Science & Mathematics · 19/02/2013

5. ### indefinite integration of sec?

sec(x√3) dx Let u = x√3 du = √3 dx 1/√3 ∫sec(u) du 1/√3 [ln|sec(u) + tan(u)| + C] ln|sec(x√3) + tan(x√3)| / √3 + C

4 Answers · Science & Mathematics · 24/08/2011

6. ### How to integrate sec cubed x?

sec^3(x) dx = ∫ sec(x) sec^2(x) dx from [ 0 to π/4 ] integrate by parts u = sec x du = sec(x) tan(x) dv = sec^2(x) dx v...π/4 ) tan(π/4) - 0 ] + (1/2) [ ln I sec(π/4) + tan(π/4) - ln I sec(0) + tan...

2 Answers · Science & Mathematics · 03/01/2012

7. ### What is the integreal of 1 / 1 -sec x?

∫ ( 1/(1 - sec(x)) dx ) We can't solve this directly; let's use identities. Multiply the top and bottom by (1 + sec(x)) gives us (1 + sec(x)) / (1 - sec²(x)) The bottom...

3 Answers · Science & Mathematics · 18/03/2007

8. ### simplifying cot/ tan/ sec/ csc/ cos/ sin/?

1) sec^2x(1-sin^2x) sec^2x ( cos^2x) ----------------- sin^2x + cos^2x = 1 cos^2x/cos^2x ---------------sec^2x = 1/cos^2x 1 2) cos^B/ 1-sinB 1-sin^2B / 1-...

2 Answers · Science & Mathematics · 08/07/2011

Hello, ∫ [sec(3x) /tan(3x)] dx = let's rewrite it as: ∫ sec(3x) [1/tan(3x)] dx...up with: (1/3) ln |csc(3x) - cot(3x)| + C in conclusion: ∫ [sec(3x) /tan(3x)] dx = (1/3) ln |csc(3x) - cot(3x)| + C I...

1 Answers · Science & Mathematics · 05/10/2010

10. ### Find the value of sec [Cot^-1 (-6)]?

sec [arccot (-6)] the question is: what is the secant of that arc whose cot is (-6)? thus let [arccot (-6)] = y then cot y = - 6 now you have to rewrite sec y in terms of cot y, that is: sec²y = (1/cos²y...

2 Answers · Science & Mathematics · 08/06/2008