3.16: Homework- Anti-derivatives
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Compute the following indefinite integrals. Don’t forget the constant of integration!
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\(\int x^2 + x \ dx\)
\(\frac{1}{3}x^3 + \frac{1}{2}x^2 + C\)ans
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\(\int \sqrt{x} + \sqrt[3]{x} \ dx\)
ans
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\(\int \frac{2}{x} \ dx\)
\(2 \ln(x)\) Wait! I mean \(2 \ln(x) + C\). Oops!ans
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\(\int (3x + 1)^2 \ dx\)
\(3x^3 + 3x^2 + x + C\)ans
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\(\int \frac{x + 1}{x} \ dx\)
\(\frac{1}{2} x^2 + \ln(x) + C\)ans
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\(\int 3x^2 + 2x + 1 \ dx\)
\(x^3 + x^2 + x + C\)ans
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\(\int x^2 + x \ dx\)