Area between Function and Axis Help!!! (1 Viewer)

[Focus is Key]

I have been learning this part of Integration in class. I understand the theory (I think) although there's something that keeps tripping me up on questions. Hopefully, by asking for help I can master the process. Here's one question for example:

Find the area bounded by the curve y= -x^2+9x-20 and the x axis.

Thanks for all help Also please SHOW THE SKETCH if possible!

 

[braintic]

Surely you have an example in your notes of exactly this type of question??

 

[Carrotsticks]

I have been learning this part of Integration in class. I understand the theory (I think) although there's something that keeps tripping me up on questions. Hopefully, by asking for help I can master the process. Here's one question for example:

Find the area bounded by the curve y= -x^2+9x-20 and the x axis.

Thanks for all help Also please SHOW THE SKETCH if possible!

Do you know how to sketch the parabola?

 

[Focus is Key]

He only gave one example which was a different sort of question. I didn't properly understand how to do the normal types....

 

[Focus is Key]

Yeah I think so, it'd be Upisode down parabola with roots at 4 & 5 and Y-Intercept -20?

 

[TimeGoesTooFast]

Correct me if I'm wrong (it's been a while since I last did area bounded x/y-axis), but OP, the example you gave must include borders otherwise the area is differing.

 

[Focus is Key]

The example the teacher gave us had had x-axis boundaries of x=1 and x=3 but the textbook question I gave had no boundaries. I understand the fact that you need to absolute value area below the x-axis also.

 

[braintic]

But the boundaries are the roots of the parabola. Just find these roots first.

 

[Focus is Key]

Yeah I know, I'll give the questions a go tommorow again and come back if I have any issues.

 

[TimeGoesTooFast]

But the boundaries are the roots of the parabola. Just find these roots first.

Yeah I guess so for this example...

 

[darkfenrir]

Yeah I know, I'll give the questions a go tommorow again and come back if I have any issues.

fuark you look like a 99.95'er in the making, judging from your ranks...

 

[OH1995]

fuark you look like a 99.95'er in the making, judging from your ranks...

lol