Hi
Can anybody help me with this one : integral of dx/(a^2 + bx + x^2)^1.5
Thanks
Plato, the link you gave me was perfect. Two other sites I had tried before didn't find a solution. Many thanks
The formula I submitted gives the lumens/sq m on a point on the floor coming from a bulb fixed to the wall, and this integral will give me lumens/sq m on a point on the floor coming from a horizontal strip of light fixed to the wall.
Hi
I've just discovered the world of improper discontinous integrals, a level I didn't need to reach at school. I'm old now but it's never too late.
I see this sort of example quoted : integral from 0 to 3 of 1/(9-x^2) dx which can be solved by limits.
But what do you do with : integral from 0 to 4 (four) of the same function? I can break it up into 0 to 3 which is solvable by limits, but what do I do with the part >3? I can't just ignore it. Any help or any useful link would be welcome.
By the way, an approximate integral of dx/(a^2 + bx + x^2)^1.5 can be found with an Excel spreadsheet table which gives perfectly coherent values when b^2>a^2 so I'm a bit perplexed.