Question

In this question, you will estimate the value of the integral ??? xe^(-x/2) dx using three different approximations. a. Subdivide the interval [1,7] into three sub-intervals of equal width and complete the following: ?x = a? = .85 f(a?) = a? = f(a?) = a? = f(a?) = a? = f(a?) = x? = f(x?) = x? = f(x?) = x? = f(x?) = b. Calculate the approximate value of the integral using the trapezoidal rule. Area ? c. Calculate the approximate value of the integral using the midpoint rule. Area ? d. Calculate the approximate value of the integral using Simpson's rule. Area ? e. It is possible to show that an antiderivative of x e??/² is -2(x + 2) e??/² Using this antiderivative, calculate the exact value of the integral. Integral =

          In this question, you will estimate the value of the integral
??? xe^(-x/2) dx
using three different approximations.
a. Subdivide the interval [1,7] into three sub-intervals of equal width and complete the following:
?x =
a? = .85 f(a?) =
a? = f(a?) =
a? = f(a?) =
a? = f(a?) =
x? = f(x?) =
x? = f(x?) =
x? = f(x?) =
b. Calculate the approximate value of the integral using the trapezoidal rule.
Area ?
c. Calculate the approximate value of the integral using the midpoint rule.
Area ?
d. Calculate the approximate value of the integral using Simpson's rule.
Area ?
e. It is possible to show that an antiderivative of x e??/² is
-2(x + 2) e??/²
Using this antiderivative, calculate the exact value of the integral.
Integral =

In this question, you will estimate the value of the integral
??? xe^(-x/2) dx
using three different approximations.
a. Subdivide the interval [1,7] into three sub-intervals of equal width and complete the following:
?x =
a? = .85 f(a?) =
a? = f(a?) =
a? = f(a?) =
a? = f(a?) =
x? = f(x?) =
x? = f(x?) =
x? = f(x?) =
b. Calculate the approximate value of the integral using the trapezoidal rule.
Area ?
c. Calculate the approximate value of the integral using the midpoint rule.
Area ?
d. Calculate the approximate value of the integral using Simpson's rule.
Area ?
e. It is possible to show that an antiderivative of x e??/² is
-2(x + 2) e??/²
Using this antiderivative, calculate the exact value of the integral.
Integral =

Added by Barry S.

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