Evaluate the following in terms of elliptic integrals, and compute the values to four decimal places.

a. \(\int_{0}^{\pi / 4} \frac{d \theta}{\sqrt{1-\frac{1}{2} \sin ^{2} \theta}}\).

b. \(\int_{0}^{\pi / 2} \frac{d \theta}{\sqrt{1-\frac{1}{4} \sin ^{2} \theta}}\).

c. \(\int_{0}^{2} \frac{d x}{\sqrt{\left(9-x^{2}\right)\left(4-x^{2}\right)}}\).

d. \(\int_{0}^{\pi / 2} \frac{d \theta}{\sqrt{\cos \theta}}\).

e. \(\int_{1}^{\infty} \frac{d x}{\sqrt{x^{4}-1}}\).