Use python to solve the question

Please calculate the following integral by using different methods: r-1/4 I dr et + r3/4 + 2 (1) 1. Please choose one of the numerical methods including: rectangle method, adaptive trapezoidal, adaptive simpson, gaussian quadrature; with the accuracy 10-5 of to do the integration 2. Use importance smapling method to do the integration and compare the results with the uniform sampling mean value method. Show the figure Note that you need to show the derivation for choosing the w(2) and transforing the integrand. 3. Use MCMC (Markov chain Monte Carlo) to calculate the result and show the final result with error. Please calculate the following integral by using different methods: r-1/4 I dr et + r3/4 + 2 (1) 1. Please choose one of the numerical methods including: rectangle method, adaptive trapezoidal, adaptive simpson, gaussian quadrature; with the accuracy 10-5 of to do the integration 2. Use importance smapling method to do the integration and compare the results with the uniform sampling mean value method. Show the figure Note that you need to show the derivation for choosing the w(2) and transforing the integrand. 3. Use MCMC (Markov chain Monte Carlo) to calculate the result and show the final result with error