Can someone help me with two calculus questions?

Question

destinyyyy · Answer

2. Find the area between the curve and the x-axis over the indicated interval.

y= 100-x^2 ; [-10,10]

sweetburger · Answer

$$\int\limits_{-10}^{10} 100-x^2 dx$$

destinyyyy · Answer

Yeah thats kind of where im stuck. I have no examples for this question.

destinyyyy · Answer

I just plug in right?

sweetburger · Answer

I think this an application of the 1st fundamental theorem of calc

sweetburger · Answer

you take the anti derivative first

destinyyyy · Answer

Do you mean changing 100 to 100x and x^2 to 2x?

destinyyyy · Answer

Not 2x.. x^3 over 3

sweetburger · Answer

yes correct

destinyyyy · Answer

Then I plug in the -10 and 10

sweetburger · Answer

Yes and your answer will be a result of b-a

sweetburger · Answer

so the substitution of 10 minus the substitution of -10

destinyyyy · Answer

So the answer is - 1400 over 3

destinyyyy · Answer

Opp a positive not neg.

sweetburger · Answer

one second doing the problem

destinyyyy · Answer

Correction 4000 over 3.

destinyyyy · Answer

Im getting 4000 over 3.

sweetburger · Answer

yep your right. I see my mistake

sweetburger · Answer

Sorry about that

destinyyyy · Answer

Okay. The next question is..

Evaluate. Assume u>0 when Lnu appears.

*swoosh thing* (Lnx)^2 1/x dx|dw:1461257043301:dw|