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Integration by Substitution

AP Calculus AB· difficulty 3/5

x

For ∫2xcos⁡(x2) dx\int 2x \cos(x^2)\,dx, the appropriate substitution is:

  • A

    u=x2u = x^2

    check_circle
  • B

    u=2xu = 2x

  • C

    u=cos⁡xu = \cos x

  • D

    u=xu = x

Explanation

Let u=x2u = x^2, du=2x dxdu = 2x\,dx, giving ∫cos⁡u du\int \cos u\,du.

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