Evaluate the following integrals : (i) `int x^(15)dx` (ii) `int x^(-3//2)dx` (iii) `int(3x^(-7)+x^(-1))dx`
Text Solution
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`:' x=sqrt(3) sin omegat-cos omegat` `:. x_("max")=sqrt((sqrt(3))^(2)+(-1)^(2))=2` and `x_("min")=sqrt((sqrt(3))^(2)+(-1)^(2))=-2` Thus, the particle is confined in the region `-2 le x le 2`
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