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3.16: Homework- Anti-derivatives

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    88656
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    1. Compute the following indefinite integrals. Don’t forget the constant of integration!
      1. \(\int x^2 + x \ dx\)
        \(\frac{1}{3}x^3 + \frac{1}{2}x^2 + C\)
        ans
      2. \(\int \sqrt{x} + \sqrt[3]{x} \ dx\)
        ans
      3. \(\int \frac{2}{x} \ dx\)
        \(2 \ln(x)\) Wait! I mean \(2 \ln(x) + C\). Oops!
        ans
      4. \(\int (3x + 1)^2 \ dx\)
        \(3x^3 + 3x^2 + x + C\)
        ans
      5. \(\int \frac{x + 1}{x} \ dx\)
        \(\frac{1}{2} x^2 + \ln(x) + C\)
        ans
      6. \(\int 3x^2 + 2x + 1 \ dx\)
        \(x^3 + x^2 + x + C\)
        ans

    This page titled 3.16: Homework- Anti-derivatives is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Tyler Seacrest via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.

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