Question

First, sketch of x(θ) = 2 sec(θ) for half a trip around the unit circle, i.e., for θ ∈ [0, π]

Then, write the domain and range for your sketch. What are the input values (θ) and the possible output values (x)?

Use your graph to estimate the values θ takes on to give x-values of our limits of integration, -3 and -2. Use your graph to solve 2 sec(θ) = −3 and 2 sec(θ) = −2.

The values for θ you find in part three are estimates of the limits of integration after we use trig substitution to rewrite the integrand.

Answer 1