Question

Can someone help me with two calculus questions?

Answer 1

2. Find the area between the curve and the x-axis over the indicated interval.

y= 100-x^2 ; [-10,10]

Answer 2

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

Answer 3

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

Answer 4

I just plug in right?

Answer 5

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

Answer 6

you take the anti derivative first

Answer 7

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

Answer 8

Not 2x.. x^3 over 3

Answer 9

yes correct

Answer 10

Then I plug in the -10 and 10

Answer 11

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

Answer 12

so the substitution of 10 minus the substitution of -10

Answer 13

So the answer is - 1400 over 3

Answer 14

Opp a positive not neg.

Answer 15

one second doing the problem

Answer 16

Correction 4000 over 3.

Answer 17

Im getting 4000 over 3.

Answer 18

yep your right. I see my mistake

Answer 19

Sorry about that

Answer 20

Okay. The next question is..

Evaluate. Assume u>0 when Lnu appears.

*swoosh thing* (Lnx)^2 1/x dx