Question

Find the area of the region bounded by the hyperbola 25x^2 − 4y^2 = 100 and the line x = 3.

Answer 1

Look at the graph above and see if you can write an integral that computes the bounded area

Answer 2

The blue curve is the graph of
\[
y=\frac{5 \sqrt{x^2-4}}{2}
\]

Answer 3

You should compute
\[
2 \int_2^3 \frac{5 \sqrt{x^2-4}}{2}
\, dx
\]
to get your answer