Q14 of 26 Page 1

Evaluate:


OR


Evaluate:








Adding (i) and (ii):













When x = 0 ⇒ y = tan 0 = 0



















OR






Therefore,



cos πx > 0


⇒ x cos πx > 0


⇒ |x cos πx| = x cos πx



cos πx < 0


⇒ x cos πx < 0


⇒ |x cos πx| = -x cos πx


So,





Using integration by parts:


















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