QUESTION 3 Which of the following is equivalent to x/x- 2 dx if the substitution u=x-2...
Question 14 Consider the integral. x(x + 5)8 dat Which of following integrals is equivalent to this integral under the substitution u = x + 5? du du ºf(wº + wº) du of 15u - v) du (e – 50%) du ºs u du
(3 points) Consider the indefinite integral X – 3 (3x - 2)2 dx. The substitution u = 3x – 2 transforms the integral into: | du (This answer must be a function of u.) Note: You are not asked to evaluate the integral.
Evaluate the integration of x (x + 3)1/2dx I tried u-substitution and I've gotten u = x + 3 therefore du = dx and x = u - 3 Which results in the integration of (u - 3) u1/2du So now I'm at a loss
urgent 2 pts > Question 21 Using substitution we have $ 25 (2® + 2) *dx equals which of the following choices? o sw dw o Sw4 dw OS w dw o ſw dw
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...
Select the true statements about the substitution method. It utilizes the formula , f(u(x))u'(x) dx = f(u) du. It may only be used to evaluate definite integrals. It is based on the chain rule for derivatives. It is useful to solve the integral ſ 2x sin xdx. It is based on the product rule for derivatives.
Question 4 Which of the following can be integrated by using the substitution U = In(x) S (In(x)2+1 dx. 11 Svin(x) + 1 dx. 1. S Vin(x) k IV dx. s (In(x)2 + 1 In(x) I and Ill only. II and IV only. OOO lll only ll only I and II only
Make a u-substitution and integrate from u(a) to u(b). x/20 5 tan 5x sec25x dx 15 x/20 5 tan 5x sec 25x dx = [] (Simplify your answer.) -115
u-substitution: indefinite integrals (In x)2 = dx = х Choose 1 answer: @ (In x)2 + C 2 In x + C (In x)3 3 +C © (In x)3 + C
By using u substitution Find fav? + 1dc by using substitution. 1. Let u= 2. Then du = 3. Solve for a from part "1". x2 = (Answer needs to be in terms of u and du. ) 5. integrate, leave in terms of u. 4. Make the substitution into the integral. po vo? + ide = f"x++ido I 6. Change your answer in 5 so that it is in terms of a 1dx =