Difference between revisions of "009B Sample Midterm 2, Problem 3"

Revision as of 18:47, 19 January 2016

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

Solution:

Final Answer:

@@ Line 1: / Line 1: @@
-<span class="exam">Evaluate the indefinite and definite integrals.
+<span class="exam">Evaluate
-::<span class="exam">a) <math>\int x^2\sqrt{1+x^3}dx</math>
+::<span class="exam">a) <math>\int_1^2\bigg(2t+\frac{3}{t^2}\bigg)\bigg(4t^2-\frac{5}{t}\bigg)dt</math>
-::<span class="exam">b) <math>\int _{\frac{\pi}{4}}^{\frac{\pi}{2}} \frac{\cos(x)}{\sin^2(x)}dx</math>
+::<span class="exam">b) <math>\int_0^2 (x^3+x)\sqrt{x^4+2x^2+4}dx</math>