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1/12 (cos (3x + 2)). 3 sin (3x +2)+1/8 cos (3x + 2) sin (3x +2)+3/8x + 1/4. But Maple does not do +C so the answer is: 1/12 (cos (3x + 2)). 3 sin (3x +2)+1/8 ... ... by substitution: (a). Z x3 p x2 +2dx. (b*). Z x2 cos (x3)dx. (c). Z 1 x2 sin. 1 x dx. (d). Z cos(3x − 7) dx. (e). Z e√ x. √ x dx. (f*). Z e(x+ex) dx (use u = ex). Oct 5, 2018 ... h(x) = cos (3x/2), 0 < x < 2pi. Identify the open interval on which the function is increasing or decreasing. (Using interval notation.) Nov 19, 2020 ... Consider the following integral. cos(3x) dx Given the substitution u = 3x, find du. du = dx Rewrite the given integral in terms of u. ( ]). du ∫ cos (3x + 5) dx. Solution: Let u = 3x + 5, then du/dx = 3 and dx = du/3 ... −1/3 cos (3x − 1) + C. Note: The final result can also be obtained using ... (c) e²™ ( − 3sin(3x) + 2 cos(3x)). (d) e²x ( — 2sin(3x) + 3 cos(3x). (e) e²x ( − sin(3x) + cos(3x)). 2. Page 3. MATH 1241 FINAL EXAM. PART I. SPRING 2014. 5 ... May 29, 2020 ... P+ (x,y) = = = $ cos(3x) e¯ +}² cos(}y) d}·. +. + = { sin (3x) e + 3 sin (3y) d}. Page 14. Example: BM in (0,∞) (killed). From. 2. P₂ (x,y) ... cos(3x+1). I-00 3x + 1. (HINT: Use the Squeeze Principle.) (X-1) xi ex/2+8x+3 ... bin cos (3x+1). 3x+1 bin 3X+1. 00. =0. Page 3. 2.) (8 pts.) Determine the ... Oct 25, 2017 ... How to integrate cos^3 x. Apr 14, 2015 ... 7 cos(3x). 3. + C. (B). 2x. 3. 2. 3. + e4x −. 7 cos(3x). 3. + C. (C). 2x. 3. 2. 3. + e4x +. 7 cos(3x). 3. + C. (D). 2x.
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