Question

Fundamental theorum of Calculus?

Answer 1

Not sure how this is supposed to be solved exactly. Have a hunch FTC is involved.

Answer 2

This is a very complicated question but according to the way I solved it the right answer should be C. I hope this helps you! And if your still not sure, a bunch of web sight help walk u thro the problem

Answer 3

Shouldnt be complicated I dont think, thank you though.

Answer 4

Any Time

Answer 5

@agent0smith @nincompoop I got the correct answer, but I would really like to understand how to do this if you guys could help out

Answer 6

Does that mean I was right?

Answer 7

It doesn't look complicated. Use u sub

u = a^2 - x^2 (remember a is just a constant)

Answer 8

so du = -2x

Answer 9

I think i got it

Answer 10

Right. It should be easy from there.

Answer 11

What happened to my x value though? I got

\[\frac{ 8(a^2-x^2)^\frac{ 3 }{ 2 } }{ 3 }\]

Answer 12

multiply the exponents?

Answer 13

If you aren't sure, then differentiate that, and it should result in the original integral. Integration is easily checked by differentiation.

Answer 14

No clue why you're asking to multiply the exponents though.

Answer 15

because my answers exponent of (a^2)^(3/2) didnt match the correct answers exponent of a^3

Answer 16

I don't know what you've done. You integrated but never plugged in the limits

Answer 17

no worries, the reason im confused is because the variable x is removed from the answer, when I dont see how it can be, considering it is a part of my u

Answer 18

Again... You haven't plugged in limits... you haven't finished the working.

Answer 19

ohhh gotcha, like the bounds. I was confused when you said limits. I forgot this was a definite integral, thanks