document.write( "Question 1025361: Which of the following integrals cannot be evaluated using a simple substitution?\r
\n" ); document.write( "\n" ); document.write( " the integral of 1 divided by the quantity x squared plus 1, dx\r
\n" ); document.write( "\n" ); document.write( " the integral of 1 divided by the quantity x squared plus 1, dx\r
\n" ); document.write( "\n" ); document.write( " the integral of x divided by the quantity x squared plus 1, dx\r
\n" ); document.write( "\n" ); document.write( " the integral of x cubed divided by the quantity x to the 4th power plus 1, dx \n" ); document.write( "

Algebra.Com's Answer #640677 by robertb(5830) $\"\"$ $\"About$

You can put this solution on YOUR website!
The last two can be evaluated using simple substitution. (Let the denominator be equal to w, or z, say.)\r
\n" ); document.write( "\n" ); document.write( "The first (two??) doesn't require substitution, however.\r
\n" ); document.write( "\n" ); document.write( "(Note: $\"int%28dx%2F%28x%5E2%2B1%29%29+\"$ = $\"tan%5E-1%28x%29\"$ , and doesn't require SIMPLE substitution although some people who like to split hairs may say let w = $\"tan%5E%28-1%29%28x%29\"$ , for example.) \n" ); document.write( "

\n" );