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Best book for learning multiple integrals, line integrals, greens theorem etc..

I've been searching for a book that teaches multiple integrals and such in a way that I can understand, I need to learn it quickly, so I don't need too much of the intuition, I just need to be able to ...
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1answer
33 views

Integration Exercise.Help!

I have to integrate the function F(x,y)=x+y on the line segment x=t , y=1-t , z=0 from (0,1,0) to (1,0,0) .So what i did is think the line segment as a vector function(curve) σ(t)=(t,1-t,0) with ...
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4answers
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Contour Integral help with residue theorem

$$ K = \int_{0}^{\infty}\frac{1}{x^{4}+x^{2}+1}dx $$ I am supposed to use contour integration to solve this, but I can't even determine the singularities. The denominator doesn't have any that I can ...
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0answers
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Integrating over a closed contour following vector field

Integrate over a closed contour $c$ $$\oint_c d\vec{r}\times\vec{a}, \quad \vec{a}=-yz\vec{i}+xz\vec{j}+xy\vec{k}$$ where $c$ is cross-section of following two surfaces $$x^2+y^2+z^2=1$$ and $$y=x^2$$ ...