document.write( "Question 1113349: please help \r
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\n" ); document.write( "\n" ); document.write( "Find the area bounded between \r
\n" ); document.write( "\n" ); document.write( "a) f(x) = 1/x and g(x) = x^2 on the interval [1,3]\r
\n" ); document.write( "\n" ); document.write( "b) f(x) = x^3 - 3x^2 + 2x and x-axis on the interval [1,2]\r
\n" ); document.write( "\n" ); document.write( "c) f(x) = sinx and g(x) = cosx on the interval from 0 to the first intersection point on the positive axis. \n" ); document.write( "

Algebra.Com's Answer #728355 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "I am not going to TAKE these integrals for you or instead of you.
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document.write( "Find the area bounded between \r\n" );
document.write( "a)  f(x) = 1/x and g(x) = x^2 on the interval [1,3] \r\n" );
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document.write( "    The area is equal to the integral of the difference    on the interval [1,3].\r\n" );
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document.write( "Plot y =  (red) and y =  (green)\r\n" );
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document.write( "b)  f(x) = x^3 - 3x^2 + 2x and x-axis on the interval [1,2]\r\n" );
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document.write( "    The area is equal to the integral of  -f(x) =   on the interval [1,2].\r\n" );
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document.write( "Plot y = \r\n" );
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document.write( "c)  f(x) = sinx and g(x) = cosx on the interval from 0 to the first intersection point on the positive axis.\r\n" );
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document.write( "    Make a plot.\r\n" );
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document.write( "    Find the intersection point. \r\n" );
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document.write( "    It is the root of the equation sin(x) = cos(x),  which is tan(x) = 1  or  x = .\r\n" );
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document.write( "    The area is the integral of the difference  cos(x) - sin(x)  from 0 to .\r\n" );
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