Miller apps integration

Applications of Integration

integral

LRAM

Left hand point Rectangle Approximation

Disk/ Washer? What’s that?

Just

MRAM

Midpoint rectangular approximation

This is in the middle

2 ??

Shell Method

#42

• First graph the equations by finding the x-intercepts by setting the equations equal to 0

• Then you shade the area between the two curves

• Next you plug the interval and equation’s into your calculator to get the answer– You plug the equations in top – bottow– You find the interval from setting the equations

equal to each other and solving for x.

#49

• In this equation it is in your best interest to use the inverse method so you switch all of the x’s with y’s

• Next you graph your equation to find the x-intercepts you set each equation equal to 0 and solve for x

• You plug the equation’s into the calculator with top minus bottom again and to find the interval you set the equations equal to each other and solve for x

#48

• You set the equation equal to 0 to solve for the x-intercepts

• Next you graph your equations and shade the region you are trying to find

• Finally, you find the interval by using the x-intercepts