W60. Compute (sin x + cos x)(4 – 2 sin 2x – sin? 2x)e" dx sin 2x where = 6 (0,7) Mihály Be Pirkulyiev Rovsen W38. Let (an)n be a sequence, given by the recurrence: man+1 + (m - 2) an an-1 = 0 where me R is a parameter and the first two terms of (an), are fixed known real numbers. Find me R, so that lim an = 0 n-00 Tad
1 (2 points) Evaluate 3f(x) + 2x dx if f(x) dx = 2. (a) -24 (b)-30 (c) -18 d) 18 (e) none of these
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5/2x^2+ e^x+c
15) [5xex dx : F(x) = 5 x ² ex + c
Determine the following integrals T Sin(x) 1 + x² dx 2). xe 2x dx Idy dx + P(x) y = Q(x) integration factor Solve dy Ex dx sinx the following differenti al equations ... + 3y t? dy F) (l+x) dx +y=vx V: eSP(x) dicas
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Evaluate the integral. 2 (2x + 2)dx 3 2 Sizx+2)dx= (2x + 2)dx = (Simplify your answer.) 3
integrals
d. S (16x +16 x)(3x++1)dx 68 e. J (2x+15) f. S e²+(2-e²* |-* ax g. | 21xedx h. S -0.1*le) at
(2x+ 2 x y²) dx + ( x ²) - 3y) dy = 0 solve your equation
28x3 - 56x2 +5 Evaluate 2 - 2x 28x3 - 56x² +5 dx = x² - 2x
[x] བརྗོད་ 83. The value of [{x)dx is (A) [x] (B) 2[x] (C) 2x] (D) None of these
Evaluate the integral. S (2x-1) In(18) dx (x2 – x)In 18x - +x+C 2 + x + C (21-x]ın 18x** 0 (x2 - x)In 18- x2 +x+C 0 (x2-x)in 18x - 2 + 2x +C