The German mathematician Karl Weierstrass (1815-1897) noticed that the substitution t = tan(x/2) will convert any rational function of sin(x) and cos(æ) into an ordinary rational function of t. If t = tan(x/2), -T < x < T, then it can be shown that sin () - 1 cos V1+ t2 V1+t? 1 t2 2t cos(x) sin(æ) 1+t2 ' 1+t2 and 2 -dt. 1+t? dx = Use the substitution given above to transform the following integral into a rational function of t and then evaluate the integral: 7/2 1+ sin(x) dx - cos(x T/3

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Q: The German mathematician Karl Weierstrass (1815-1897) noticed that the substitution t = tan(x/2)…

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Q: 9. The German mathematician Karl Weierstrass (1815-1897) noticed that the substitution t tan(x/2)…

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