Question

Is finding the area under a curve using the fundamental theorem of calculus and evaluating the definite integral the same thing?

I really don't see a difference.

Answer 1

I don't really understand what you're asking. Are we talking about the FTC Part 2?\[\large \int\limits_a^b f(x) \; dx=F(b)-F(a)\]

Answer 2

Yes my hw says find area of the curve using the FTC f(x)=2sqrtx on [0,4} the next problem says evaluate the definite integrals & lists some functions.

Do I do the same thing in both parts?

Answer 3

Hmm that's strange.
Yes it should be the same process.

The FTC is really just like a... definition of the process of integration. I dunno how to word that better.. lol :3

Answer 4

Thanks zepdrix

Answer 5

Whut fez? XD lol