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Integrate the given expression. ſ(2x + 4)2 dx 4x3 + 16x2 + 4x + c 8x+...
Integrate fc2x (2x + 4)ex2+4x–3 dx
8.)Evaluate: a.) S 4x® dx. b.) ſ 4x2Vx3 + 3 dx. c.) S(x3 +1 )2 dx.
7. Which expression is a simplified form of -2x(-4x + 3)? a. 8x - 6x b. 8x + 6x c. -8x - 3 d. -8x + 3
Integrate the following expression: - 2x + 7)dx 1. Q.2 Find the function which passes through (2,6) and whose derivative is given as 2. y'= 3x
(a) i) For ∫(4x−4)(2x^2-4x+2)^4 dx (upper boundry =1, lower =0) Make the substitution u=2x^2−4x+2, and write the integrand as a function of u, ∫(4x−4)(2x^2−4x+2)^4 dx =∫ and hence solve the integral as a function of u, and then find the exact value of the definite integral. ii) Make the substitution u=e^(3x)/6, and write the integrand as a function of u. ∫ e^(3x)dx/36+e^(6x)=∫ Hence solve the integral as a function of u, including a constant of integration c, and then write...
s više dx V16 – x2 -√16 – x² x' +C V16 – x2 2x +C V16 - x² + c 16 - x2 2x +C 1 point 5 x2 dx = x3 +4 In | x3 + 4[ + C In [x] + + +C O In | x3 +41 whe in* +4 +C + 4x|+C
Evaluate the integral using the given substitution. ſ Vacos (x32-7) dx, u = x 3/2_, o x312 sin 2(x3/2 - 7)+ C o sinᵒ (8312.7) + C a o 1/3 (4x) sin (x3/2 -7)+C o $(x3/2 - 7) + sin 2(x3/2 - 7) + C
Integrate ex- - 8x + 18 dx by using the partial fractions method. Which of the following is correct? x2-9x + 20 4 AS**** *28 dx = S** 5 Ox x2 - 8x + 18 J XP-9x + 20 +- - 4 X - X - 5 oc s***8* * 28 dx=51-x katika O B. None of the other choices given is correct. px? - 8x + 18 2 72-9x + 20 ( - 4 x -504 -5 x2 -...
Integrate each of the following analytically) - Using U substitution All Steps and Proper Notation MUST be SHOWN - All questions are 2 points cach 1 S 2x3 e3x* dx 2 1 272 8x dx Integrate each of the following (analytically) - Using U substitution All Steps and Proper Notation MUST be SHOWN S (1 - x)/x dx 4) SVx3 + 2 (x2) dx Integrate each of the following (analytically) - Using U substitution All Steps and Proper Notation MUST...
4pts each) 16. Integrate the following: x+2 *** x - 4x 11) | Vxsin (2x2) ii) |*(8x? +38°) & secx (1-7 tan x) or 36 iv) lei (2x-1) ch