Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integrals with the specified value of n. (Round your answers to six decimal places.) a) \int_{0}^{12}\sqrt{y}*cos(y)dy, n=8
i. the Trapezoidal Rule:
ii. the Midpoint Rule:
iii. Simpson's Rule:
b) \int_{0}^{4}ln(8+e^x)dx, n=8
i. the Trapezoidal Rule:
ii. the Midpoint Rule:
iii. Simpson's Rule: