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

Integrals:

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 2:06pm
No, 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.

## Answer This Question

## Related Questions

- calculus, volume , application of integration - show steps for the following: ...
- Calculus - Find the area cut off by x+y=3 from xy=2. I have proceeded as under: ...
- Calculus ll - Improper Integrals - Find the area of the curve y = 1/(x^3) from x...
- Chemistry - My question is 'what does the area under the curve represent?' it's ...
- Calculus - Would someone clarify this for me... Is antiderivatives just another ...
- Calc. - Find the area of the region bounded by the parabola y=x^2, the tangent ...
- brief calc - Calculate the total area of the region described. Do not count area...
- math-plz help - Consider the curve f(x)=x^4 between x = -1 and x = 4. a)What is ...
- Fundamental Theorm of Calculus - Use a definite integral to find area of the ...
- Calculus - 1. Find the area of the region bounded by the curves and lines y=e^x ...

More Related Questions