3. Find ∫4e^xdx
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4. Find ∫(7x^6+6x^7)dx
5. Find ∫(7/x^4+4x+5)dx
6. The traffic flow rate (cars per hour) across an intersection is r(t)=200+600t−90t^2, where t is in hours, and t=0 is 6am. How many cars pass through the intersection between 6 am and 10 am?
7. A company’s marginal cost function is 5/√x where x is the number of units.
Find the total cost of the first 81 units (of increasing production from x=0 to x=81)
Total cost: $
8. Evaluate the integral
by making the substitution u=x^4−3.
NOTE: Your answer should be in terms of x and not u.