Question:

Evaluate dx 2 x - 16 for x > 4, in two ways: using partial fractions and a trigonometric substitution. Reconcile your two - answ

Evaluate
dx
2
x - 16
for x > 4, in two ways: using partial fractions and a trigonometric substitution. Reconcile your two
-
answers.
...
dx
secu
1
J
2
sec?0-1 Vsec²0-1
II
In
+C
2
x - 16
4
Rewrite the integral in terms of x and simplify the result. Use the reference triangle for
the secant substitution shown here to determine the values.
Vir - 22
Sza
dx
1
= In
8
x - 16
X-4
X+4
+C
a
x = a seco
Reconcile the results from the two evaluations of the integral. Choose the correct answer below.
O A. The two results can be reconciled by changing the constant of integration.
OB
The two results can be reconciled because the secant substitution results in itan ²0 = - tan 0 in this case.
C. The two results can be reconciled using the properties of logarithms.
D. The two results can be reconciled by using integration by parts.

Evaluate dx 2 x - 16 for x > 4, in two ways: using partial fractions and a trigonometric substitution. Reconcile your two - answers. ... dx secu 1 J 2 sec?0-1 Vsec²0-1 II In +C 2 x - 16 4 Rewrite the integral in terms of x and simplify the result. Use the reference triangle for the secant substitution shown here to determine the values. Vir - 22 Sza dx 1 = In 8 x - 16 X-4 X+4 +C a x = a seco Reconcile the results from the two evaluations of the integral. Choose the correct answer below. O A. The two results can be reconciled by changing the constant of integration. OB The two results can be reconciled because the secant substitution results in itan ²0 = - tan 0 in this case. C. The two results can be reconciled using the properties of logarithms. D. The two results can be reconciled by using integration by parts.

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