Difference between revisions of "009B Sample Midterm 2, Problem 1"

Latest revision as of 17:58, 12 November 2017

This problem has three parts:

(a) State the both parts of the fundamental theorem of calculus.

(b) Compute ${\frac {d}{dx}}\int _{0}^{\cos(x)}\sin(t)~dt$ .

(c) Evaluate $\int _{0}^{\pi /4}\sec ^{2}x~dx$ .

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-<span class="exam">Evaluate the indefinite and definite integrals.
+<span class="exam"> This problem has three parts:
-::<span class="exam">a) <math>\int x^2\sqrt{1+x^3}dx</math>
+<span class="exam">(a) State the both parts of the fundamental theorem of calculus.
-::<span class="exam">b) <math>\int _{\frac{\pi}{4}}^{\frac{\pi}{2}} \frac{\cos(x)}{\sin^2(x)}dx</math>
+<span class="exam">(b) Compute &nbsp; <math style="vertical-align: -15px">\frac{d}{dx}\int_0^{\cos (x)}\sin (t)~dt</math>.
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+<span class="exam">(c) Evaluate &nbsp;<math style="vertical-align: -14px">\int_{0}^{\pi/4}\sec^2 x~dx</math>.
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+[[009B Sample Midterm 2, Problem 1 Solution|'''<u>Solution</u>''']]
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+[[009B Sample Midterm 2, Problem 1 Detailed Solution|'''<u>Detailed Solution</u>''']]
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 [[009B_Sample_Midterm_2|'''<u>Return to Sample Exam</u>''']]