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`a cos (ax +b)` का समाकलन कीजिये - |
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Answer» Correct Answer - `sin(ax+b)` `I = intsin^(2//3) x cos ^(3) x dx` ` =int (cos^(2) x . sin^(2//3)x)cos x dx` `= int{(1-sin^(2)x)sin^(2//3)}(cos x) dx` `=int(sin^(2//3) x - sin^(8//3)x )cos x dx` अब यदि `sin x = t rArr cos x dx = dt` तब `I = int(t^(2//3) - t^(8//3))dt = (t^(5//3))/(5//3) = (t^(11//3))/(11//3)+c` |
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