The correct answer is shown, Im just confused about how to get there. b g(b) Use...
How can u-substitution, where u=36x^2-1, be used to get this
answer?
Use a change of variables or the table to evaluate the following definite integral. 216 dx x36x2 - 1 V216 s Click to view the table of general integration formulas. 216 dx TT 12 (Type an exact answer.) V216 xV36x2-1
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.)
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.
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.)...
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
please answer all 3 questions, I need help. thank you
Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. $(9x+ ex) dy- (4y + sinh x) dx, where C is the boundary of the square with vertices (2, 0), (5, 0), (5, 3), and (2, 3). $(9x+ ey?) ay- (4y+ + sinhx) dx = 0 (Type an exact answer.) Use Green's Theorem to evaluate the following line integral. i dy - g dx, where (19)...
a. Find the Jacobian of the transformation x= 34, y = uv and sketch the region G: 3531 56, 15 uv s 2, in the uv-plane. 6 2 b. Then use -- S S «y dx dy=[[«guw, rus),Mw.v) du dv to transform the integrat $ žay dx into an integral over 6, and evaluate both integrals. R G a. The Jacobian is Choose the correct sketch of the region G below. OC. D. OA. AV 6- 12 b. Write the...
Please help with each box of the problem.
EXAMPLE 5 Evaluate 7x2 - 6x + 16 x3 + 4x dx. Since x3 + 4x = x(x2 + 4) can't be factored further, we SOLUTION write А. Bx + C 7x² - 6x + 16 x(x2 + 4) + Multiplying by x(x2 + 4), we have 7x2 - 6x + 16 = A(x2 + 4) + + Cx + 4A. Equating coefficients, we obtain A + B = 7 C =...
please i need final answers just just put option and write
answer don t need to solve
need it asap please thanks
Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for convergence. If more than one method applies, use whatever method you prefer. rdx ſ dx Choose the correct answer below. OA. 1 By the Direct Comparison Method, converges because Os s +4 a on 3, 00) and x dx converges. x +...
10. f(x) = logs (sec(4x' - 2x + 5)) Chapter 4 - Applications of the Derivative 11. Given the function f(x) = 2x - 3x2 - 12x + 5 Find critical points (including relative minimums/maximums, if applicable), where the function is rising and falling, where it is concave up and down, any points of inflection. Summarize below. a. f(x) = b. f'(x) = c. Inflection points (give as points) d. Local MAXs (give as points): e. Local MINs (give as...