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Integrate w.r.t x. : (i) x^(11//2) (...

Integrate w.r.t x. : (i) `x^(11//2)`
(ii) `x^(-7)`
(iii) `x^(p//q)(p//q ne -1)`

Text Solution

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(i) `int x^(11//2)dx = (x^(11//2+1))/((11)/(2)+1) + c = (2)/(13)x^(13//2) + c`
(ii) `int x^(-7) dx = (x^(-7+1))/(-7+1)+c= -(1)/(6) x^(-6) + c`
(iii) `int x^((p)/(q)) dx = (x^((p) /(q)+1))/((p)/(q)+1) +c = (q)/(p+q)x^((p+q)//q)+c`
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