math quizes calc 1
mohammed5611
Math 151 Quiz 13. Name: Due no later than Noon on Wednesday, December 7
I. Find the most general antiderivative of each function. You do not need to show any work. [1] 𝑥!! + 𝑒! + 𝑙𝑛2 General Antiderivative :
2 3 2 𝑥4 3
General Antiderivative :
3 𝑠𝑒𝑐!x + 1
1 + x!
General Antiderivative : [4] cos t + sin t
General Antiderivative :
[5] x!(𝑥! + 1)
General Antiderivative :
3 pt.s each
II. Solve the differential equation with the given conditions. Show every step in great detail. Use proper integral notation.
fʹʹ(x) = 40x3 - 8 f(0) = -7, f(1) = - 6
10 pt.s
J Bonus (1 point) Because this solution contains no arbitrary constants, we call this a solution.
Solution: