MAT-1120 Midterm: MATH 1120 App State Spring2014 Test1
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2(cid:16)1 cos(2x)(cid:17: (30 points) basic integrals (a) Z x2e3x dx d dxh tan(x)i = sec2(x) 0 x2 + 1 x3 + 3x + 1 dx (c) 0 cos3(x) dx: (30 points) more integrals (a) Z ex sin(2x) dx: (8 points) write down the forms we would use to nd the partial fraction decomposition of. 2x + 1 x(x + 5)3(x2 + 2x + 6)2: (20 points) more integrals (a) 1 x2 + 2x + 2 dx (b) X 1 x(x + 1)2 dx: (12 points) we know that the area inside the circle x2 + y2 = 4 is 4 . At some point your work should involve a trigonometric substitution. 2(cid:16)1 cos(2x)(cid:17: (27 points) basic integrals (a) Z x2 cos(3x) dx d dxh tan(x)i = sec2(x) Be sure to show your work! d dxhasin(x)i = 0 cos2(x) dx: (30 points) more integrals (a)
