Consider the following integral π4​∫02π​sin2xdx In the following, you can use the formulae sin(x+21​π)=cosx,cos(x+ 21​π)=−sinx,sin(x+π)=−sinx,cos(x+π)=−cosx and the following table: (i) Find the value of the definite integral analytically. You can use the fact that (2x​−41​sin2x)′=sin2x. Use 3.14 as an approximated value of π if needed. Round the result to no more than three significant figures. Type your answer in the following box. [4 Marks] (ii) Find the value of the definite integral by the composite trapezoidal rule with interval size h=61​π. Use 3.14 as an approximated value of π if needed. Round the result to no more than three significant figures. Type your answer in the following box