Question

Suppose that f is an integrable function on the interval [0; 1]such that f(x) is larger than or equal to 0 for all x andfinalized_jax">∫"src="http://latex.codecogs.com/gif.latex?%3Cspan+class%3D%22MathJax%22%3E%3Cspan+class%3D%22math%22%3E%3Cspan+style%3D%22width%3A5.01em%3Bheight%3A0px%3Bfont-size%3A126%25%3B%22%3E%3Cspan%3E%3Cspan+class%3D%22mrow%22%3E%3Cspan+class%3D%22texatom%22%3E%3Cspan+class%3D%22mrow%22%3E%3Cspan+class%3D%22msubsup%22%3E%3Cspan+style%3D%22width%3A1.066em%3Bheight%3A0px%3B%22%3E%3Cspan%3E%3Cspan+class%3D%22mo%22+style%3D%22font-family%3ASTIXGeneral%3Bvertical-align%3A-.002em%3B%22%3E%C3%A2%CB%86%C2%AB"/> . Show that

finalized_jax">∫"src="http://latex.codecogs.com/gif.latex?%3Cspan+class%3D%22MathJax%22%3E%3Cspan+class%3D%22math%22%3E%3Cspan+style%3D%22width%3A5.01em%3Bheight%3A0px%3Bfont-size%3A126%25%3B%22%3E%3Cspan%3E%3Cspan+class%3D%22mrow%22%3E%3Cspan+class%3D%22texatom%22%3E%3Cspan+class%3D%22mrow%22%3E%3Cspan+class%3D%22msubsup%22%3E%3Cspan+style%3D%22width%3A1.616em%3Bheight%3A0px%3B%22%3E%3Cspan%3E%3Cspan+class%3D%22mo%22+style%3D%22font-family%3ASTIXGeneral%3Bvertical-align%3A-.002em%3B%22%3E%C3%A2%CB%86%C2%AB"/> is larger than or equal to 1/2

Properties are you using?

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