Recent content by spanishmaths

Homework Statement I'm having major issues working out how to integrate \int\frac{1}{F-Gx+x^{2}}dx , where F and G are constants. Homework Equations The Attempt at a Solution Maple tells me it is an inverse hyperbolic tangent of some description, and I know I have to...

Homework Statement Im getting very confused with working out how to integrate the following double integral with an absolute value: \int^{2}_{-2}\int^{2}_{-2}\left|x^{2}+y^{2}-1\right|dxdy Homework Equations The Attempt at a Solution I know you have to split it down into where it...

Ah that´s great thanks. So that proves it for when (x,y) are in B. But when (x,y) are not in B, then we are integrating the function 0 on the interval R=[0,1]x[0,1] with limits of integration 0,1 and x,1 as above, which is 0... Which is evidently not between 1/6 and 1/2... So it is only...

Homework Statement Prove the following inequality: \frac{1}{6}\leq\int_{R}\frac{1}{y^{2}+x+1}\chi_{B}(x,y)dxdy\leq\frac{1}{2} where B={(x,y)|0\leq (x)\leq (y)\leq1} and R=[0,1]x[0,1] EDIT: The B region should be 0 less than or equal to x less than or equal to y less than or equal to 1...