Question

What is the area under the curve in the interval [2,7] for the function `1/(1 + x^2)^(1/2)`?

Answer 1

`int_2^7 1/sqrt(1+x^2) dx = sinh^-1 (7)- sinh^-1 (2) = 1.20` (3sf)

Explanation:

`int_2^7 1/sqrt(1+x^2) dx = sinh^(-1) x|_2^7 = sinh^-1 (7)- sinh^-1 (2)`