Improper Integral

Find, when they exist, the values of the following integral:

    \[\int_{0}^{\frac{\pi}{2}} \frac{\sin{x}}{\sqrt{\cos{x}}}\,\textrm{d}x\]

Source: Smyrl, J.L. (1978). An Introduction to University Mathematics. London: Hodder and Stoughton. (Exercises 16(f): Question 12, p. 437)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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