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  1. sec(x/2)dx Multiply numerator and denominator by (sec(x/2)+tan(x/2) and get ∫sec(x/2)dx= ∫{sec(x/2)(sec(x...x/2)tan(x/2)} dx= dt i.e dx =2dt/{ sec²(x/2) +sec(x/2)tan(x/2)} Subsituting ∫{sec²(x...

    5 Answers · Science & Mathematics · 09/03/2011

  2. sec^4 x dx = ∫ sec^2 x sec^2 x dx Integrate by parts dv= sec^2 x dx; v = tan x; u = sec^2 x ; du = 2 sec^2 x tan x ∫ u dv = u v - ∫ v du...

    3 Answers · Science & Mathematics · 12/03/2014

  3. 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

  4. 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 · 08/07/2010

  5. 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

  6. 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

  7. 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

  8. 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

  9. ∫ ( 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

  10. 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

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