1.

Evaluate : (i) int_(0)^(4)[x]^(2) dx (where [*]denotes greatestinteger function) (ii) int_(0)^(pi)sqrt(1+sin2x)dx , (iii) int_(0)^(2)f(x)dx where f(x)-[{:(2x+1, 0lexlt1),(3x^(2),1lexle2):} (iv) int_(0)^(4)|x^(2)+4x+3|dx , (v) int_(0)^(oo)[cot^(1)x]dx (where [*] denotes greatest integerfunction) (vi) int_(-5)^(5)|x+2|dx , (vii) int_(-1)^(1)[cos^(-1)x]dx (where [*] denotes greatest integerfunction)

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SOLUTION :N//A


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