3 x e* dx Find the value of (a) Using Trapezoidal rule with = 4 segments....

 

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3 x e* dx Find the value of (a) Using Trapezoidal rule with = 4 segments. For each of the sub-intervals write down the linear function using which you are approximating the function. (b) Using two Simpson's 1/3-rule with n = 4 segments (that is applying the rule twice). Write down the quadratic function (Lagrange polynomial) that you are using in each case. (c) Using Simpson's 3/8-rule with n = 6 segments (that is, applying the rule twice). Write down the cubic function (Lagrange polynomial) that you are using in each case. 3 x e* dx Find the value of (a) Using Trapezoidal rule with = 4 segments. For each of the sub-intervals write down the linear function using which you are approximating the function. (b) Using two Simpson's 1/3-rule with n = 4 segments (that is applying the rule twice). Write down the quadratic function (Lagrange polynomial) that you are using in each case. (c) Using Simpson's 3/8-rule with n = 6 segments (that is, applying the rule twice). Write down the cubic function (Lagrange polynomial) that you are using in each case.

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