Inegration Question help! (1 Viewer)

[SGSII]

Hi Guys
Could someone please help me on this question:

Thanks

 

[lochnessmonsta]

Do a quick sketch of the graph or visualise it in your head. In this case the area will be all above the x axis so no absolute value signs are needed.

Then use simultaneous equations to find the limits, in this case from x=-1 to x=1

Then simply integrate [2 - x^2 - (x^2)]

We get the integral equalling [2x - 2/3*x^3] from -1 to 1

Substituting we get [2-2/3 - (-2+2/3)] = 8/3 units squared

 

[SGSII]

Thank you!
I have another quick question that I find that im having difficulties on:

Like how would I integrate it if its a fraction like the one above?
Please help!
My half yearlies on this is tmrw

 

[SGSII]

Thank you!
I have another quick question that I find that im having difficulties on:
View attachment 27931
Like how would I integrate it if its a fraction like the one above?
Please help!
My half yearlies on this is tmrw

 

[RealiseNothing]

Thank you!
I have another quick question that I find that im having difficulties on:
View attachment 27931
Like how would I integrate it if its a fraction like the one above?
Please help!
My half yearlies on this is tmrw

Split up the fraction:

 

[SGSII]

Thank you!