Fundamental Theorem of Calculus and Accumulation Functions

AP Calculus AB· difficulty 3/5

For F(x)=0x2costdtF(x) = \int_0^{x^2} \cos t\,dt, F(x)=F'(x) =

  • A

    cos(x2)\cos(x^2)

  • B

    sin(x2)\sin(x^2)

  • C

    2xcos(x2)2x \cos(x^2)

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  • D

    2xsin(x2)2x \sin(x^2)

Explanation

Chain rule: cos(x2)2x\cos(x^2) \cdot 2x.

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