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Please help integration

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∫ (0.5x - xsqrt(1-x^2))dx, (0, -0.866)
asked Mar 16, 2013 in CALCULUS by andrew Scholar
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Syntax error.

Syntax error.

Syntax error.

Syntax error.

integral subscript minus 0.866 end subscript superscript 0 right enclose 0.5 x space minus space x square root of 1 minus x to the power of 2 end root space d x equal x to the power of 2 over 4 space end enclose subscript minus 0.866 end subscript superscript 0 space plus 1 over 2 integral subscript minus 0.866 end subscript superscript 0 square root of t d t

integral subscript minus 0.866 end subscript superscript 0 right enclose 0.5 x space minus space x square root of 1 minus x to the power of 2 end root space d x equal x to the power of 2 over 4 space end enclose subscript minus 0.866 end subscript superscript 0 space plus 1 over 2 fraction numerator t to the power of begin display style 3 over 2 end style end exponent over denominator begin display style 3 over 2 end style end fraction subscript minus 0.866 end subscript superscript 0

integral subscript minus 0.866 end subscript superscript 0 right enclose 0.5 x space minus space x square root of 1 minus x to the power of 2 end root space d x equal 1 over 4 left parenthesis 0 to the power of 2 space minus 0.866 to the power of 2 space space end exponent end enclose plus 1 over 2 open parentheses t to the power of 3 over 2 end exponent close parentheses 2 over 3 subscript minus 0.866 end subscript superscript 0

integral subscript minus 0.866 end subscript superscript 0 right enclose 0.5 x space minus space x square root of 1 minus x to the power of 2 end root space d x equal 1 over 4 end enclose open parentheses 0.75 close parentheses space plus open parentheses t to the power of 3 over 2 end exponent close parentheses 1 over 3 subscript minus 0.866 end subscript superscript 0

integral subscript minus 0.866 end subscript superscript 0 right enclose 0.5 x space minus space x square root of 1 minus x to the power of 2 end root space d x equal 1 over 4 end enclose open parentheses 0.75 close parentheses plus 1 over 3 open parentheses 0 to the power of 3 over 2 space end exponent minus minus open parentheses 0.866 close parentheses to the power of 3 over 2 end exponent close parentheses

integral subscript minus 0.866 end subscript superscript 0 right enclose 0.5 x space minus space x square root of 1 minus x to the power of 2 end root space d x equal end enclose 0.19 plus 1 over 3 open parentheses 0 plus 0.806 close parentheses

integral subscript minus 0.866 end subscript superscript 0 right enclose 0.5 x space minus space x square root of 1 minus x to the power of 2 end root space d x equal end enclose 0.19 plus 1 over 3 open parentheses 0.806 close parentheses

integral subscript minus 0.866 end subscript superscript 0 right enclose 0.5 x space minus space x square root of 1 minus x to the power of 2 end root space d x equal end enclose 0.19 plus 0.26867

integral subscript minus 0.866 end subscript superscript 0 right enclose 0.5 x space minus space x square root of 1 minus x to the power of 2 end root space d x equal end enclose 0.45867

 This is Approximate value : 0.45867

 

 

 

answered Mar 18, 2013 by diane Scholar

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