IUPUI Calculas 2 Divergent and Convergent Integrals Problems please be sure all answers are correct calculas 2, 9 question. topics 6,7,8 6. Determine whether the integral is convergent or divergent and evaluate it (convergent case).
(3pts)
sor Inr dr
7. Use the Comparison Theorem to determine whether the integral is convergent or divergent:
(3pts)
no
cot a da
Sooo
5+26
(3pts)
8. Find the exact length of the curve
y=3+cosh 2x, OSX S1
9. Bonus problem: (5pts)
Evaluate the integral:
So7 du
COS
* sin 3
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1. f (x) = S V1+ t3 dt, find (F-1)(0).
(2pts)
2. Differentiate the function f (x) = sin? (e sin? t). (2pts)
(2pts)
3. Find the exact value of the expression:
cos(tan-1 2 + tan-13)
4. Find the limit
(2pts)
lim,oo
xer
5. Evaluate the integral.
24-922+3+2
dr
(3pts)
1 0-9
2-4-9
6. Determine whether the integral is convergent or divergent and evaluate it (convergent case).
(3pts)
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