Antiderivatives and Indefinite Integrals

AP Calculus AB· difficulty 1/5

x3dx=\displaystyle\int x^3\,dx =

  • A

    x44+C\dfrac{x^4}{4} + C

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  • B

    x33+C\dfrac{x^3}{3} + C

  • C

    3x2+C3x^2 + C

  • D

    x4+Cx^4 + C

Explanation

Power rule for integrals: xndx=xn+1/(n+1)+C\int x^n\,dx = x^{n+1}/(n+1) + C.

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