(Solved): Estimate 019cos(x2)dx using the Trapezoidal Rule and the Midpoint Rule, each with n=4. (Round ...

Estimate $${?}_0^{1}9\cos \left(x^2\right)dx$$ using the Trapezoidal Rule and the Midpoint Rule, each with $$n=4$$. (Round your answers to six decimal places.) (a) the Trapezoidal Rule (b) the Midpoint Rule From a graph of the integrand, decide whether your answers are underestimates or overestimates. $$T_4$$ is an underestimate $$T_4$$ is an overestimate $${\mathrm{M}}_4$$ is an underestimate $$M_4$$ is an overestimate What can you conclude about the true value of the integral? (Round your answers to six decimal places.) $${?}_0^{1}9\cos \left(x^2\right)dx<$$