.......___
∫5x√x+4...dx
let u = x+4 thus du = dx
that also means x = u-4
............_
∫5(u-4)√u...du
equals
........_......_
5∫(u√u -4√u.)..du
......3/2....1/2
5∫(u....-4u...)..du
....2...5/2........2..3/2
5[▬u..minus.▬u......]...+C
....5................3
....5/2............2....3/2
2u...minus....▬.u.......+C
....................15
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Verified answer
.......___
∫5x√x+4...dx
let u = x+4 thus du = dx
that also means x = u-4
............_
∫5(u-4)√u...du
equals
........_......_
5∫(u√u -4√u.)..du
equals
......3/2....1/2
5∫(u....-4u...)..du
equals
....2...5/2........2..3/2
5[▬u..minus.▬u......]...+C
....5................3
equals
....5/2............2....3/2
2u...minus....▬.u.......+C
....................15