Review for Third part (section 007)

Note from the instructor: This is an amazing practice test! There are three really good questions, two of them specially challenging. I am missing at least one or two questions with definite integrals, and/or the use of the Fundamental Theorem of Calculus (this is part of the final exam!) I did change the coefficients of most of the problems to prevent the use of answer keys.

  1. \displaystyle{\int (x+2)e^{7x}\, dx}
  2. \displaystyle{\int \frac{18x^2-4x}{6x^3-2x^2}\, dx}
  3. \displaystyle{\int e^{3.7x}\, dx}
  4. \displaystyle{\int \frac{3y}{\sqrt{17-y}}\, dx}
  5. \displaystyle{\int x^{18}+16x-17\, dx}
  6. \displaystyle{\int x^3(x^4+17)^{22}\, dx}
  7. \displaystyle{\int \frac{dy}{y-9}\, dx}
  8. \displaystyle{\int x^3 \sqrt{4x^5+3}\, dx}
  9. \displaystyle{\int \frac{e^t+44}{e^t+44t}\, dt}
  10. \displaystyle{\int x^5 \ln x\, dx}
  11. Find an antiderivative F(x) of f(x)=22e^x satisfying F(0)=10.
  12. Find an antiderivative F(x) of f(x)=x^6-12x^4 satisfying F(0)=17.
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