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 indefinite integral ∫((1 + t/10)^3) dt using substitution. Step 1). u=g(t)= Step 2). du=...
2. (8 pts.) Find the indefinite integral using the substitution method. State what u and du equal. [3x74x+7 dx
(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 indefinite integral\ sec^2 t sqrt 1 + tant t dt Use the previous answer to evaluate between t=0 and t = pi / 4 1. Evaluate the indefinite integral ſ secº (t)/1+tan(t) dt (7 pts) 2. Use the previous answer to evaluate betweent O and t = 4 TT (3 pts)
Evaluate the following indefinite or definite integrals using substitution. SHOW EACH STEP on the answer sheets. 16. Sa com a dx u=__ du= 17. 62 e 2 dx u=- du=
Integrating with Trigonometric Substitution Evaluate 2dx 0 Find the indefinite integral. 20e5r dt Evaluate 2dx 0 Find the indefinite integral. 20e5r dt
Evaluate the integral by making the appropriate substitution: - Preview Preview NOTE: Your answer should be in terms of u and not t. DU I Tour Evaluate the integral (4x + 11) by making the appropriate substitution: u = Preview I da J (4x + 11) Preview Evaluate the indefinite integral. 2 I (+4) Preview + c Points possible: 10
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...
1- 2- 3- Tutorial Exercise Evaluate the indefinite integral. Vinter dx 1 + x18 Step 1 We must decide what to choose for u. If u = f(x), then du = f'(x) dx, and so it is helpful to look for some expression in x8 dx for which the derivative is also present, though perhaps missing a constant 1 + x18 factor. 17 Finding u in this integral is a little trickier than in some others. We see that 1...
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- 2- Tutorial Exercise Evaluate the indefinite integral. Jerez 42 + ex dx Step 1 We must decide what to choose for u. If u = f(x), then du = f'(x) dx, and so it is helpful to look for some expression in Jerez 42 + ex dx for which the derivative is also present. We see that 42 + ex is part of this integral, and the derivative of 42 + ex is ex et which is also present....