MATH 221 Final: MATH 221 KSU sp18Finalsol

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Math 221 final exam may 9, 2018. Please make sure that your cell phone is turned o . You will have 110 minutes to complete the exam. Total score sin(ax) sin(bx) = 1 cos(ax) cos(bx) = 1 sin(ax) cos(bx) = 1. Tan(x) dx = ln | sec(x)| + c a + c. A2 x2 a + c x x2 a2. Sec(x) dx = ln | sec(x) + tan(x)| + c a2 + x2 = arctan x a + c. 1 a dx n 1 n sinn 2(x) dx cosn 1(x) sin(x) n n 1 n cosn 2(x) dx tann 1(x) n 1 tann 2(x) dx secn 2(x) tan(x) Mx = n 1 a 1 + dy dx 2. 2 b a f (x)2 g(x)2 dx dx n 2 n 1 secn 2(x) dx. My = b a a x (f (x) g(x)) dx.