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 (x/2) or x = 2 tan?1 u. The following relations are used in making this change of variables.A: B: C: Evaluate .

Solution:-Step1Given thatAn integrand with trigonometric functions in the numerator and denominator can often be converted to a rational integrand using the substitution u =tan (x/2) or x = 2 tan1 u. The following relations are used in making this change of variables.A: B: C: Step2To find thatEvaluate .Step3Substitute the value of x=2dx=Cos x=Step4Integrate= = = = = = = -cot(+C Therefore, = -cot(+C