Lesson: Integrating Standard Functions Mathematics

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In this lesson, we will learn how to integrate standard functions, including polynomial, trigonometric, and exponential functions, and use the reverse chain rule to integrate functions of the form f(ax+b).

Lesson Plan

Students will be able to

  • solve indefinite integrals where the integrand is
    • a power function,
    • an exponential function,
    • a reciprocal function,
    • sin𝑥, cos𝑥, or sec𝑥,
    • coseccot𝑥𝑥, cosec𝑥, or sectan𝑥𝑥,
  • find indefinite and definite integrals of the sums and differences of the above functions,
  • find the value of a constant in a definite integral, given the value of that integral,
  • integrate functions of the form 𝑓(𝑎𝑥+𝑏).

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