Still have math questions?

Ask our expert tutors
Algebra
Question

Find the area of the region bounded by the \(x\) ...

Find the area of the region bounded by the \(x\) -axis, the hyperbola \(x ^ { 2 } - y ^ { 2 } = 1\) , and the straight line from the origin to the point \(( \sqrt { 1 + Y ^ { 2 } } , Y )\) on that hyperbola. (Assume \(Y > 0\) .) In particular, show that the area is \(t / 2\) square units if \(Y = \sinh t\) .

Answer

\(\frac { \ln ( Y + \sqrt { 1 + Y ^ { 2 } } ) } { 2 } \text { sq. units }\)

Solution
View full explanation on CameraMath App.