CPM Homework Help : APCALC Problem 6-86

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6-86.

Use your calculator to evaluate each of the following definite integrals.

$\int _ { 1 } ^ { 1 } \frac { 1 } { x } d x$
Hint (a):
Notice the bounds.

$\int _ { 1 } ^ { 2 } \frac { 1 } { x } d x$
Hint (b):
Recall that if $y=\ln(x),\text{ then }y^\prime=\frac{1}{x}.$

$\int _ { 1 } ^ { 5 } \frac { 1 } { x } d x$
Hint (c):
Refer to part (b).

$\int _ { 1 } ^ { 1 / 2 } \frac { 1 } { x } d x$
Hint (d):
Refer to part (b).

$\int _ { 1 } ^ { e } \frac { 1 } { x } d x$
Hint (e):
This should give a pleasing value.

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