Skip to content
free
K
1
2
practice
Home
Math
English
Science
Social Studies
Contact
Language
English
Español
Sign In
/
Math
/
Calculus II
/
Repeated Integration by Parts
Worksheet
Grade Level
Calculus II
CAL2.24 Repeated Integration by Parts
0%
Skill Level
🔴 Hard
00:00
Progress to Next Level
25% to Medium
Easy
Medium
Hard
Mastery
100%
For t > 0, a rate is modeled by \(r(t)=t
3
(\ln t)
3
\). Which accumulated-quantity formula \(A(t)\) has \(A'(t)=r(t)\), ignoring the initial constant?
A
\(\frac{t
4
(32 (\ln t)
3
+ 24 (\ln t)
2
+ 12 \ln t + 3)}{128}\)
B
\(\frac{t
4
(32 (\ln t)
3
- 24 (\ln t)
2
+ 12 \ln t - 3)}{128}\)
C
\(\frac{t
4
(8 (\ln t)
2
- 6 \ln t + 3) \ln t}{32}\)
D
\(\frac{t
4
((\ln t)
3
- 3 (\ln t)
2
+ 6 \ln t - 6)}{4}\)
Submit Answer
