### Home > APCALC > Chapter 6 > Lesson 6.3.1 > Problem6-86

6-86.

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

1. $\int _ { 1 } ^ { 1 } \frac { 1 } { x } d x$

Notice the bounds.

1. $\int _ { 1 } ^ { 2 } \frac { 1 } { x } d x$

Recall that if $y=\ln(x),\text{ then }y^\prime=\frac{1}{x}.$

1. $\int _ { 1 } ^ { 5 } \frac { 1 } { x } d x$

Refer to part (b).

1. $\int _ { 1 } ^ { 1 / 2 } \frac { 1 } { x } d x$

Refer to part (b).

1. $\int _ { 1 } ^ { e } \frac { 1 } { x } d x$

This should give a pleasing value.