2. (8 pts.) Find the indefinite integral using the substitution method. State what u and du...
8. (7 points) Evaluate the indefinite integral using a substitution. State the substitution and show all work to justify your result for credit. dx V1 - 4x2 sin-1(2x)
(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.
Find the indefinite integral by the substitution method or state that it cannot be found by our substitution formulas.
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=
12. DETAILS Find the indefinite integral using the method of trigonometric substitution. (Use C for the constant of integration.) S instructor to receive credit. There will be no credit if your work is not submitted. l 36 - 4x2 dx
10. (16) Find each indefinite integral using u-substitution: a. (x*(1-2x°)* dx b. fxcos (x2 - 1) dx
Use a change of variables to find the following indefinite integral. Sx²(x8 - 11) * dx What is the best choice of u for the change of variables? U= Find du. du = O dx Rewrite the given integral using this change of variables. Sx(-11)* dx=SO. du Find the indefinite integral. Sx? (28 - 11)* dx =
10. (16) Find each indefinite integral using u-substitution: a. x?(1–2x")*dx b. ſxcos(x2 – 1) dx
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
find the given indefinite integral. state whether integration by substitute or integration by parts was used Find the given indefinite integral. State whether integration by substitution or integration by parts was used. 4x e 5x dx Using integration by (Type an exact answer.) S 4x e5x dx=