Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (anonymous):

How do I use the Fundamental Theorem of Calculus to evaluate the definite integral?

OpenStudy (mathteacher1729):

That image is too large, do you have a smaller one? :-p Seriously though, you would break up the integral into \[\huge \int_1^2 x^{-2}\ dx\] and \[\huge -\int_1^2 x^{-3}\ dx\] Can you evaluate each of these integrals separately?

OpenStudy (anonymous):

I don't know how to.

OpenStudy (anonymous):

use the power rule.... nothing special....

OpenStudy (mathteacher1729):

The problem is asking "What function, when you take its derivative... gives you \(\huge x^{-2}\)?

OpenStudy (anonymous):

1/x^2 = x^-2

OpenStudy (mathteacher1729):

You did correct algebra -- those are two equivalent ways of writing the same function, but the calculus asks for a relationship between the derivatives of functions.

OpenStudy (anonymous):

power rule: \(\large \int x^ndx=\frac{x^{n+1}}{n+1}+C,\space{ }n \ne1 \)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
XShawtyX: Art, Short Writing Assignment: Imagining Landscapes
7 hours ago 2 Replies 0 Medals
XShawtyX: Chemistry, Help ud83dude4fud83cudffe
7 hours ago 13 Replies 1 Medal
kaelynw: tried a lil smt, the arm is off but i like the other stuff
18 hours ago 27 Replies 3 Medals
kaelynw: art igg
16 hours ago 14 Replies 2 Medals
XShawtyX: Art
3 days ago 6 Replies 0 Medals
Nina001: teach me how to draw or just tell me the basics
3 days ago 2 Replies 1 Medal
XShawtyX: We doing another drawing gimme ideas to add to this
3 days ago 9 Replies 1 Medal
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!