next up previous
Next: About this document

MATH 1310.03F A Quiz 4 Thursday, October, 19 2000

NAME:

Student Number:tex2html_wrap_inline216 No.tex2html_wrap_inline218Marks tex2html_wrap_inline220


(25 Marks) Evaluate the following indefinite integral.
displaymath222

Solution. (Method 1) Let tex2html_wrap_inline224, tex2html_wrap_inline226. Then tex2html_wrap_inline228 and
eqnarray31

Hence, we have
eqnarray43

Since tex2html_wrap_inline224, tex2html_wrap_inline226, we have tex2html_wrap_inline234, tex2html_wrap_inline236 and
displaymath238

Hence, we obtain
eqnarray57

(Mehtod 2). Use the known formulas:
displaymath240


eqnarray86

By the known formulas, we have
displaymath242

and
displaymath244

Hence, we have
eqnarray126




Kunquan Lan
Thu Oct 19 11:18:06 EDT 2000