Concerns all aspects of integration, including the integral definition and computational methods. For questions solely about the properties of integrals, use in conjunction with (indefinite-integral), (definite-integral), (improper-integrals) or another tag(s) that typically describe(s) the types of ...

learn more… | top users | synonyms (3)

-3
votes
2answers
122 views
+50

How does a C-constant in a substitution affect the result of integration?

I'm doing some pretty strange integrals (floor functions ones) and I think I should probably start asking some more complex questions regarding it. Since I now know how to integrate them, I have to ...
7
votes
0answers
155 views
+50

If any differential equation is given by $f''(x)+f'(x)+f^2(x) = x^2\;,$ Then $f(x)=$

If any differential equation is given by $f''(x)+f'(x)+f^2(x) = x^2\;,$ Then $f(x)=$ $\bf{My\; Try::}$ We can write above differential equation as $$e^xf''(x)+e^xf'(x)+e^x\cdot (f(x))^2 = ...
1
vote
1answer
35 views
+50

Complicated surface integral/line integral.

Problem Compute the integrals $$I=\iint_\Sigma \nabla\times\mathbf F\cdot d\,\bf\Sigma$$ And $$J=\oint_{\partial\Sigma}\mathbf F\cdot d\bf r$$ For $F=(x^2y,3x^3z,yz^3)$, and ...