(3 points) Consider the indefinite integral X – 3 (3x - 2)2 dx. The substitution u...
In Problems 14-18, evaluate the given definite or indefinite integral, using u-substitution if appropriate. (12 points each) x + 3x -4 dx r? 14. 15. S (x+12 +2x - 3)dx
1. Evaluate the indefinite integral sen (2x) – 7 cos(9x) – sec°(3x) dx = 2. Evaluate the indefinite integral | cor(3x) – sec(x) tant(x) + 9 tan(2x) dx = 3. Calculate the indefinite integral using the substitution rule | sec?0 tan*o do =
(1 point) Evaluate the indefinite integral. dx = Inabs((1/3)(x^3)+x^2-3x) (x - 1)(x + 3)
6. Find the general indefinite integral: J (u + 4)(2u +1)du I a. (3x dx conto de ton of b. [VF (82 +31 + 2)dx cinco T() = f(x) d. Sx dx (a=-1) sin x-e' +2 de 188
Use a change of variables to evaluate the following indefinite integral. ( (Vx+5) 4 3 dx J2V Determine a change of variables from x to u. Choose the correct answer below. OA. u= (x + 5)^ OB. u= VX +5 OC. Uz OD. u= Write the integral in terms of u. (Vx+5) dx = du 28x Evaluate the integral (Vx+5)* dx=0 2/8 Click to select your answer(s).
2. (8 pts.) Find the indefinite integral using the substitution method. State what u and du equal. [3x74x+7 dx
Tutorial Exercise Evaluate the integral using the substitution rule. sin(x) 1/3 1* dx cos(x) Step 1 of 4 To integrate using substitution, choose u to be some function in the integrand whose derivative (or some constant multiple of whose derivative) is a factor of the integrand. Rewriting a quotient as a product can help to identify u and its derivative. 70/3 1." sin(x) dx = L" (cos(x) since) dx cos?(X) Notice that do (cos(x)) = and this derivative is a...
10. (16) Find each indefinite integral using u-substitution: a. x?(1–2x")*dx b. ſxcos(x2 – 1) dx
Evaluate the indefinite integral ∫((1 + t/10)^3) dt using substitution. Step 1). u=g(t)= Step 2). du= Step 3-5). ∫((1+ t / 10)^3) dt=
Evaluate the following indefinite integral. 3 + 3√x dx dx = 0 Determine the following indefinite integral. Check your work by differentiation. 5m (9m2 - 5m) dm 5m (9m2 - 5m) dm = Determine the following indefinite integral. Check your work by differentiation. Sur dr dr = Find the indefinite integralf f(-7 - 7 sec x tan x - 8 sec? x) dx. SC- -7 sec x tan x -8 sec? x) dx = | Determine the following indefinite integral....