Help with integral by part (Calculus -1) question..

[jatin89]

hi guys,
i have this 2 questions, i tried few times,got different answer everytime but they were wrong so help me out please.Thanks

Question -:1
Find the area of the region bounded by the given curves.
y=11ln(x)
y=xln(x)


Question -:2
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis.
y=7e^x
y=7e^(-x)
x=1

Help ASAP,Thanks
if these questions are at wrong place,please forgive me im new to this forum.

 

[tkhunny]

The questions are in the right place, but your heart isn't. What have you tried?

 

[jatin89]

This is what i did for my 1st question but no idea yet for 2nd

 

[tkhunny]

Whoops! \(\displaystyle \int ln(x) dx\)

You managed to find a derivative, 1/x, rather than an antiderivative, xln(x) - x.

Give that piece another go.