Please help me with this problem. I have been trying 2 do it 4 half an hour and still can figure out. Thank You!
Find the area of the region bounded by the hyperbola 25x2 - 4y2 = 100 and the line x = 3.
So the area looks a little like a slice of a circle right?
the easiest way to do it is turn y in terms of x.
Since you need both the positive and negative portion instead of doing 2 integrals you can just take the integral to get the region above the x axis and multiply it's area by 2.
can you take it from there?
Substituting when you take the integral
well what's ?
right?
what if you let u = 2x?
and right?
when you substitute that in it gets messy.
what if you let u = 2x?
Seems like you should do a trig substitution after that, though your initial idea to substitute secant isn't wrong, just needs somewhat different coefficients.