009B Sample Midterm 2, Problem 3

Evaluate

a) $\int _{1}^{2}{\bigg (}2t+{\frac {3}{t^{2}}}{\bigg )}{\bigg (}4t^{2}-{\frac {5}{t}}{\bigg )}dt$

b) $\int _{0}^{2}(x^{3}+x){\sqrt {x^{4}+2x^{2}+4}}dx$

Foundations:
1)
2)
Answers:
1)
2)

Solution:

Step 1:

Step 2:

Final Answer:

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