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Evaluate the following integrals (i) `int_(R)^(oo)(GMm)/(x^(2))dx` (ii) `int_(r_(1))^(r_(2))-k(q_(1)q_(2))/(x^(2))dx` (iii) `int_(u)^(v)Mvdv` (iv) `int_(0)^(oo)x^(-1//2)dx` (v) `int_(0)^(pi//2)sin x dx` (vi) `int_(0)^(pi//2)cos x dx` (vii) `int_(-pi//2)^(pi//2) cos x dx` |
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Answer» (i) `(GMm)/(R)` (ii) `Kq_(1)q_(2)((1)/(r_(2))-(1)/(r_(2)))` (iii) `(1)/(2)M(v^(2)-vu^(2))` (iv) `oo` (v) 1 (vi) 1 (vii) 2 |
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