How can u-substitution, where u=36x^2-1, be used to get this answer?
How can u-substitution, where u=36x^2-1, be used to get this answer? Use a change of variables...
If the change of variables u= x² + 9 is used to evaluate the definite integral S. f(x) dx, what are the new limits of integration? The new lower limit of integration is The new upper limit of integration is
This Question: 3 pts Use a change of variables or the table to evaluate the following indefinite integra Click the icon to view the table of general integration formulas. e2x Jx. dx = 0 Enter your answer in the answer box. O Type here to search ot
Use a change of variables to evaluate the following definite integral. 0 S xV81-x* dx -3 Determine a change of variables from x to u. Choose the correct answer below. O A. u=x4 O B. u = 81- x4 O C. u = 4x3 OD. u= 181 - x4 Write the integral in terms of u. S xV81-x* dx= du -3 Evaluate the integral. 0 5 x 181-x* dx= { -3 (Type an exact answer.)
The correct answer is shown, Im just confused about how to get there. b g(b) Use the Substitution Formula, ſr9(x)) • g'(x) dx= f(u) du where g(x) = u, to evaluate the following integral. g(a) 2x 3 3 tan х dx 2x 3 S 3 tandx = 12 In 2 - 6 In 3 0 (Type an exact answer.)
Use a change of variables to evaluate the following definite integral. 0 Sxva-x? dx - 2 Determine a change of variables from x to u. Choose the correct answer below. O A. u = 2x O B. u= 14-x? O c. u=x? OD. u=4 - x? Write the integral in terms of u. 0 Sxda- ox= so du -2. Evaluate the integral. 0 Sxda-x? dx=0 -2
(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...
Evaluate the following integral using a change of variables. Sketch the original and new regions of integration, R and S. 1 y+2 x-y dxdy Sketch the original region, R, in the xy-plane. Choose the correct graph below. О в. О с. O D. O A. While any changes of variables are correct for this problem use the change of variables that makes the new integral the simplest by making u·x-y and v·y. Sketch the new region, S, in the uv-plane....
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).
Which method can be used to evaluate the integral? (Remember to use absolute values where appropriate. Use for the constant of integration.) * dx integration by parts splitting the fraction trigonometric substitution long division partial fractions
12.5.10 Answer the following questions about F(x)-7x+110. (A) Calculate the change in F(x) from x- 10 to x-17. (B Graph F and use geometric formulas to calculate the area between the graph of F and the x-axis from x (C) Verity that your answers from (A) and (B) are equal, as guaranteed by the fundamental theorem of calculus. 10 to x=17. (A) Calculate the change in F(x) from x 10 to x - 17. The change is© Simplify your answer.)...