1. Compute $\dfrac{d}{dx}\left(\dfrac{e^x\cos x}{\ln x}\right).$
  2. Compute $\int e^x\sin(e^x)dx$.
  3. Find $\frac{dy}{dx}$ if $x^2+3xy^2=6$ by first computing the derivative of both sides implicitly.
  4. Compute $\int x\sin 2xdx$.
  5. Compute $\int x^2\sin 2xdx$.

Problem Set
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