Question: 4. Use Step 3 to show that a function that is continuous on [a, b] and is symmetric about the point ((a + b)/2, f((a

 4. Use Step 3 to show that a function that iscontinuous on [a, b] and is symmetric about the point ((a +
b)/2, f((a + b)/2)) can, be integrated as followsb ) 1 (x)di = (b - a) f = (b - a)(f (a) +

4. Use Step 3 to show that a function that is continuous on [a, b] and is symmetric about the point ((a + b)/2, f((a + b)/2)) can, be integrated as followsb ) 1 (x) di = (b - a) f = (b - a)(f (a) + f(b)) a 2 26. The following integrals have integrands that are symmetric about a point. Find the point of symmetry, graph the integrand, and then use Step 4 to evaluate the integral. 2 /2 4 a. cos x dx b. dx Jo 16+4x c. So( VX - x +1 x2 - 3x + 3 dx 6 3x2 - 23x + 47 4 dx dx d. dx J2 x2 - 8x +17 e. Jo 4+2x f. 0 1+ ecosx

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