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Question
Integrate the following with respect to x.
(3 + x)(2 – 5x)
Solution
(3 + x)(2 – 5x) = 6 – 15x + 2x – 5x2
= 6 – 13x – 5x2
So `int (3 + x)(2 - 5x) "d"x = int(6 - 13x - 5x^2) "d"x`
`int6 "d"x - int 13x "d"x - int 5x^2 "d"x + "c"`
`6x - (13x^2)/2 - (5x^3)/3 + "c"`
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