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Grade 11Integral Calculus

I substituted cotx= t in this question but I m still not getting the solution

Question image for I substituted cotx= t in this question but I m st
Profile image of Myra
7 Years agoGrade 11
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1 Answer

Profile image of Myra
7 Years ago
cotx = t
-cosec^2(x) dx =dt
dx = -dt/cosec^2(x)=-dt(sin^2x)
Substitute 
∫ 1  dx                 = ∫-sinx dt
————                  ——————
sinx√sinx√cosx    √sinx√cosx
 
= -∫ √tanx dx
=-∫1/√t dt = -2 √cotx +c