Logarithmic Functions Help! (1 Viewer)

[SGSII]

Hi Guys,
Could someone please help me answer these questions with full working out:



Any help is good help!
Thanks

 

[chaosflaws]

1. Sketch. Break the integral up at the intersection of the two curves, then take two separate integrals. Solution:
2. Remember to square the function (it does not look so terrible any more then) and to multiply by Pi. Solution:
3. Note that you are not going around the x-axis this time. The resulting integral is very classic. Solution:

 

[SGSII]

1. Sketch. Break the integral up at the intersection of the two curves, then take two separate integrals. Solution:
2. Remember to square the function (it does not look so terrible any more then) and to multiply by Pi. Solution:
3. Note that you are not going around the x-axis this time. The resulting integral is very classic. Solution:

Thank you!
But for the third one, the answer is:

 

[Drongoski]

FOR no 3:

 

[chaosflaws]

Thank you!
But for the third one, the answer is: View attachment 28187

You're perfectly right, I forgot the square in my head. Will write it down next time

 

[SGSII]

Alrightie, thank you so much!!