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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: indefinate integral.............
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vibrantvirgo (0)

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1)  1.tan^2(1/x)dx/x^2
 
2) 
      sin^2/3x cos^3x dx
 
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sboosy (3065)

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[tan2(1/x)]/x2 dx 
1/x = t
-1/x2 dx = dt
 - tan2(t)dt
 [1 - sec2(t) ]dt
= t - tant + c
= 1/x -tan(1/x) +c
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sboosy (3065)

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integral
sin^2/3(x) cos^3x dx
sinx = t
cosx dx = dt
= t^2/3 (1-t^2) dt
t^2/3 dt - t^8/3 dt
3/5 sin^5/3 x - 3/11 sin^11/3 x + c
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Forum Index -> Integral Calculus
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