Evaluating Antiderivatives of Various Functions

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Questions and Answers

What is the antiderivative of $x^2 + 3x + 2$?

  • $(1/3)x^3 + (3/2)x^2 + 2x + C$ (correct)
  • $(1/2)x^3 + (3)x^2 + 2x + C$
  • $(1/3)x^3 + (3/2)x^2 + 2x^2 + C$
  • $(1/2)x^3 + (3/2)x^2 + 2x + C$

What is the antiderivative of $\sin(x)$?

  • -\cos(x) + C (correct)
  • 2\cos(x) + C
  • cos(x) + C
  • -2\cos(x) + C

What is the antiderivative of $e^x$?

  • e^x + C (correct)
  • 2e^x + C
  • e^(2x) + C
  • xe^x + C

What is the antiderivative of $\sqrt{x}$?

<p>$(2/3)x^(3/2) + C$ (D)</p> Signup and view all the answers

What is the antiderivative of $\log{x}$?

<p>x\log{x} - x + C (A)</p> Signup and view all the answers

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