Solved: 8894. Rational functions of trigonometric
Chapter 7, Problem 89(choose chapter or problem)
8894. Rational functions of trigonometric functions An integrand with trigonometric functions in the numerator and denominator can often be converted to a rational integrand using the substitution u = tan 1x>22 or equivalently x = 2 tan-1 u. The following relations are used in making this change of variables. A: dx = 2 1 + u2 du B: sin x = 2u 1 + u2 C: cos x = 1 - u2 1 + u2 Evaluate L dx 1 + sin x .
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