Problem-Solving: Fall-2025
W1 D1 Practice : Due W1 D1

1. Basic Calculus: Practice Exercises Determine the following derivatives and evaluate the following integrals, all by hand. You should also learn how to check these answers on Wolfram Alpha.
   1. \(\frac{d}{du}\left(u^2\sin u\right)\)
   2. \(\frac{d}{dz}\left(\ln(z^2+1)\right)\)
   3. \(\displaystyle\int v\cos(v^2)\,dv\)
   4. \(\displaystyle\int v\cos v\,dv\)