Chapter 14: Problem 4
The area of the region between the curves \(y=\sqrt{\frac{1+\sin x}{\cos x}}\) and \(y=\sqrt{\frac{1-\sin x}{\cos x}}\) bounded by the lines \(x=0\) and \(x=\frac{\pi}{4}\) is (A) \(\int_{0}^{\sqrt{2}-1} \frac{t}{\left(1+t^{2}\right) \sqrt{1-t^{2}}} d t\) (B) \(\int_{0}^{\sqrt{2}-1} \frac{4 t}{\left(1+t^{2}\right) \sqrt{1-t^{2}}} d t\) (C) \(\int_{0}^{\sqrt{2}+1} \frac{4 t}{\left(1+t^{2}\right) \sqrt{1-t^{2}}} d t\) (D) \(\int_{0}^{\sqrt{2}+1} \frac{t}{\left(1+t^{2}\right) \sqrt{1-t^{2}}} d t\)
Short Answer
Step by step solution
Key Concepts
These are the key concepts you need to understand to accurately answer the question.