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You may use the following Antiderivative Facts Constant Functions: [kdx=kx+C Exponential Functions e* dx=e* +C Trig Functions: cos(x)dx = sin(x) +C [ csc(x)dx=-cot(x)+C Inverse
You may use the following Antiderivative Facts Constant Functions: [kdx=kx+C Exponential Functions e* dx=e* +C Trig Functions: cos(x)dx = sin(x) +C [ csc(x)dx=-cot(x)+C Inverse Trig Functions: S 1+x Powers of x: (xdx=. XP p+1 +C,p-1 fdx = In|x|+ C [sin(x)dx=-cos(x)+C [sec(x) tan(x)dx = sec(x) + C dx = arctan(x)+C dx = arcsec(x)+C [sec(x)dx = tan(x)+C csc(x) cot(x)dx=-csc(x)+C 1 dx = arcsin(x)+C 21 You know that f(x) = g(x) +5 and that 1 for f (t) dt = 28. You also know that f(6) = 3 and f(21) = 5. The region R is bounded by the curves y = f(x), y = g(x), x = 6 and x = 21. The area of R is: 21 6 I. f(x) dx = 6 21 f'(x) 4+ f(x) dx =
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