b2 - a? | xdx = 1. Prove that* 2. Evaluate the integral by interpreting it...

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b2 - a? | xdx = 1. Prove that* 2. Evaluate the integral by interpreting it in terms of areas. [1-x)dre -1 3. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. -dt - g(x)= | Ji t° +1 4. Evaluate the integral - 2x)dx e -1 e sin x 5. If f(x) = [ Vi+r* dt and g(y) = [ f(x)dx , find g"(7 /6).e b2 - a? | xdx = 1. Prove that* 2. Evaluate the integral by interpreting it in terms of areas. [1-x)dre -1 3. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. -dt - g(x)= | Ji t° +1 4. Evaluate the integral - 2x)dx e -1 e sin x 5. If f(x) = [ Vi+r* dt and g(y) = [ f(x)dx , find g"(7 /6).e