Thursday

August 28, 2014

August 28, 2014

Posted by **Jennifer** on Friday, December 18, 2009 at 1:56pm.

When we solve for area under a curve, we must consider when the curve is under the axis. We would have to split the integral using the zeros that intersect with the axis.

Would this be for all integrals? What if we just want to "find the integral", without finding it 'in terms of area'?

- Calculus -
**bobpursley**, Friday, December 18, 2009 at 2:06pmNo, not true for all integrals. But if you are looking for something that only has magnitude, you have to split the integrals, as the area below the axis is NEGATIVE.

On things like vector work (force*dx), the negative would mean work being absorbed, so it might be useful to not divide the integral if you were looking for net work done.

**Related Questions**

Calculus ll - Improper Integrals - Find the area of the curve y = 1/(x^3) from x...

Calculus - Find the area cut off by x+y=3 from xy=2. I have proceeded as under: ...

calculus, volume , application of integration - show steps for the following: ...

Math - Estimate the are under the curve f(x)=x^2-4x+5 on [1,3]. Darw the graph ...

Math: Need Answer to study for a quizz. Help ASAP - Estimate the area under the...

Python programming - A standard problem in mathematics is to measure the area ...

calculus II - We're doing areas by integrals now, with 2 eqns. I have a few ...

Calculus - Would someone clarify this for me... Is antiderivatives just another ...

CALC - area under a curve - You have an unknown function that is monotone ...

Chemistry - My question is 'what does the area under the curve represent?' it's ...