1.

Evaluate the following integrals: (i) int_(2)^(3)x^(2)dx (ii) int_(4)^(9)(sqrtx)/((30-x^(3/2))^(2))dx (iii) int_(1)^(2)(xdx)/((x+1)(x+2)) (iv) int_(0)^(pi/4)sin^(3)2tcos2tdt

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Answer :`(i) (19)/(3) (ii) (19)/(99), (III) log((32)/(27)), (iv) (1)/(8)`s


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