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

01:40
University of Houston

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Problem 31

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

$$-\csc x-x^{2}+C$$

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## Video Transcript

question 31. I'm happy. A definite into grill of seeking Deacon. Ex coke. Engine X minus to it. Yes. So this is one heats right here. And I know that, uh, who seek in gives me a derivative of Cosi connects. Cenex actually gives me negative Kosygin photonics. I have to make this negative from seeking ex that takes care of that portion. And then when I'm looking at negative to X, I have negative. And I'm gonna add one to my ex pony, like it x square, and then I multiply the coefficient by the inverse. See, I'm gonna have negative of seeking. Thanks. Minus x squared. Yes. See, huh?