### Finding an Indefinite Integral In Exercises 15- 3…

01:43
University of Houston
Problem 27

Finding an Indefinite Integral In Exercises 15- 36 , find the indefinite integral and check the result by differentiation.
$\int(x+1)(3 x-2) d x$

$$x^{3}+\frac{x^{2}}{2}-2 x+C$$

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## Video Transcript

questions from seven. We'll start with the activated girl from it's one three x my B s And that's the rule Gonna boil that out So we get three X where minus two x plus reax Give me a plus X minus two. Yes. And they're going to integrate the three X where I'm gonna have add one three you and multiply that by a inverse I'm no thanks. Where'd and I know that in verse one minus and the sea My threes can't form them Look with X Q No 1/2 ex were minus two eggs. Let's see on what I take x Q. And I think the truth is I get three x weird when I take driven of 1/2 x Weird, I get plus X and native to X. I get negative, too. Let's see. Go