Is there any way to do this integral by hand? My book says "use your computer" and gives an estimate, but we did some in class without a problem... (it's for surfaces of revolution):
(The format is fixed in the first reply)

integrate from 0 to pi/4: 2pi (tan x) \sqrt [1 + (sec^2 x)^2]

Question

Is there any way to do this integral by hand? My book says "use your computer" and gives an estimate, but we did some in class without a problem... (it's for surfaces of revolution):
(The format is fixed in the first reply)

integrate from 0 to pi/4: 2pi (tan x) \sqrt [1 + (sec^2 x)^2]

anonymous · Answer

$$\int\limits_{0}^{\pi/4} 2\pi (tanx)\sqrt{1+(\sec^2x)^2} dx$$

There, that's a much better format

precal · Answer

yes but this one looks a little complicated, that is why the instructions stated to do it using the computer

precal · Answer

you could probably input it at
www.wolframalpha.com

precal · Answer

MIT is known for their "Integration Bees".  Also, in mathematics we have many books with tables of integral formulas.......Integrals can get very complicated  really fast

anonymous · Answer

That's good to know :) I was afraid I was just totally missing some obvious step... I tried it at Wolfram|Alpha and the computation time expired :\

precal · Answer

I am not very good at inputting integration in wolf.
You might want to repost the question but ask for help to input it in wolframalpha.