Suppose f is an even function and 11f(x)dx=8. a. Evaluate 01f(x)dx b. Evaluate 11xf(x)dx a. Evaluate the definite integral. 01f(x)dx= (Simplify your answer.) b. Evaluate the definite integral. 11xf(x)dx= (Simplify your answer.) Use a change of variables to find the following indefinite integral. Check your work by differentiating. x10sinx11dx Use a change of variables to rewrite the integral. x10sinx11dx=(du Evaluate the integral. x10sinx11dx=