Ex 7.3, 19 - Integrate 1 / sin x. cos3 x - Chapter 7 - Integration using trigo identities - sin^2,cos^2 etc formulae

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Slide48.JPG

  1. Chapter 7 Class 12 Integrals
  2. Serial order wise
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Ex 7.3, 19 1 sin . cos 3 1 sin . cos 3 = sin 2 + cos 2 sin . cos 3 = sin 2 sin . cos 3 + cos 2 sin . cos 3 = cos 3 + sin . cos 2 = 1 cos 2 + sin 1 cos 2 = 1 cos 2 + sin = sec 2 tan + cot = sec 2 tan + 1 tan = tan + 1 tan . sec 2 Putting tan x=t Differentiating w.r.t.x sec 2 = = 1 sec 2 Thus, our equation becomes = + 1 sec 2 1 sec 2 = + 1 = + 1 = 2 2 + log + Putting value of = = + +

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