Difference between revisions of "009B Sample Midterm 2, Problem 2"

Latest revision as of 18:00, 12 November 2017

Evaluate

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

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

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-<span class="exam">This problem has three parts:
+<span class="exam"> Evaluate
-::<span class="exam">a) State the fundamental theorem of calculus.
+<span class="exam">(a) &nbsp; <math style="vertical-align: -14px">\int_1^2\bigg(2t+\frac{3}{t^2}\bigg)\bigg(4t^2-\frac{5}{t}\bigg)~dt</math>
-::<span class="exam">b) Compute <math>\frac{d}{dx}\int_0^{\cos (x)}\sin (t)dt</math>
-::<span class="exam">c) Evaluate <math>\int_{0}^{\frac{\pi}{4}}\sec^2 xdx</math>
+<span class="exam">(b) &nbsp; <math style="vertical-align: -14px">\int_0^2 (x^3+x)\sqrt{x^4+2x^2+4}~dx</math>
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-!Foundations: &nbsp;
+[[009B Sample Midterm 2, Problem 2 Solution|'''<u>Solution</u>''']]
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+[[009B Sample Midterm 2, Problem 2 Detailed Solution|'''<u>Detailed Solution</u>''']]
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 [[009B_Sample_Midterm_2|'''<u>Return to Sample Exam</u>''']]