We wish to determine by a comparison test whether or not the improper integral below is convergent. If it is convergent, we would like in addition to provide an upper bound for its value. I := dx V25x7 + 9x1/2 Choose the correct reasoning. The integral is divergent since 25x7 + 9x]/2 > 1 , hence O 1 dx 2 and I 2 - 1 V 25x7 + 9x1/2 V34 27/2 V34 7/2 = 00 . The integral is convergent since 25x7 + 9x1/2 > 9x]/2 for all > > 1 , hence O 1 S = -4/9 . 3x1/4 and I S V 25x7 + 9x1/2 J1 1/4 The integral is convergent since 25x/ + 9x /2 > 25x for all x 2 1 , hence O dx S = 2/25 . V25x7 + 921/2 52 7/2 and IS $1 7/2 The integral is divergent since 25x7 + 9x1/2 > 1 , hence O 1 1 and I > 1 = 00 . V25x7 + 9x1/2 V3421/4 V34 1 1/4