`a cos (ax +b)` का समाकलन कीजिये -

Answer

`sin(ax+b)`

Explanation

`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`