Please code in Python. Will give rating.

just number 4

4. Consider the definite integral Ile=+*) = f'ecder, (3) JO We cannot calculate its exact value but we can compute accurate approximations to it using Th[e=r2]. Let Th/2[e-x2) - Thle-ray q(h) = Thale-r2] Tn/2[e--?] (4) Using your code, find a value of h for which a(h) is approximately equal to 4. (a) Get an approximation of the error, I[e-*] Th[e-v*], for that particular value of h. (b) Use this error approximation to obtain the extrapolated, improved, approximation (5) Sn[e=**) = Tn[e==]+(Th/2[e==*] Th[e=). Explain why Sh[e-x?] is more accurate and converges faster to l[e-r] than Th[e-o?). 1. Review and state the following them of a (a) The Intermediate Value Theorem. (1) The Mean Vale Them (c) The (d) The Mean Vale The .) The Weed Mean Val The Song 2. Write ac cade to the TUS- (Ersa) + fire)+ - + flexa) ) ) 15- F - Na that all your code whether 120 / wody that is a great the time C e the integral Tez- in your code, find a value of appreciation of the which is Sout tot h 4. Consider the definite integral Ile=+*) = f'ecder, (3) JO We cannot calculate its exact value but we can compute accurate approximations to it using Th[e=r2]. Let Th/2[e-x2) - Thle-ray q(h) = Thale-r2] Tn/2[e--?] (4) Using your code, find a value of h for which a(h) is approximately equal to 4. (a) Get an approximation of the error, I[e-*] Th[e-v*], for that particular value of h. (b) Use this error approximation to obtain the extrapolated, improved, approximation (5) Sn[e=**) = Tn[e==]+(Th/2[e==*] Th[e=). Explain why Sh[e-x?] is more accurate and converges faster to l[e-r] than Th[e-o?). 1. Review and state the following them of a (a) The Intermediate Value Theorem. (1) The Mean Vale Them (c) The (d) The Mean Vale The .) The Weed Mean Val The Song 2. Write ac cade to the TUS- (Ersa) + fire)+ - + flexa) ) ) 15- F - Na that all your code whether 120 / wody that is a great the time C e the integral Tez- in your code, find a value of appreciation of the which is Sout tot h