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QUESTION 20 Evaluate the definite integral and interpret the result. 23 - 9x) dx O; the...
Evaluate. Then interpret the result in terms of the area above and/or below the x-axis. J (x² - 4x) dx (x - 4x) dx = (Type an integer or a simplified fraction.) Interpret the result. Choose the correct answer below. O A. All of the area is above the x-axis. OB. There is more area above the x-axis than below it. OC. There is more area below the x-axis than above it. O D. All of the area is below...
4pm 29.pd 1. Evaluate the definite integrals, * dx 2. Use an integral to find the shaded area below etx=h
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.)
Question 10 Set up the definite integral and evaluate the definite integral to determine the area of the shaded region. Show all work and provide your response in the box below. The curve is given by f(x)= x3 + 2x2 - 5x+3. If you cannot view the image below, please click on this link. HHHHHH HHHHHHH 5+ HH HHHHH HHH -7 -6 -5 -4 -3 -2 -1 0
Use geometry (not Riemann suma) to evaluate the definite integral Sketch the graph of the integrand, show the region in question, and interpret your result (3x + 6 Choose the correct graph below. ОА OB Oc OD 10 RE o 3 The value of the definiertes (3x + 6)dx as determined by the area under the graph of the integrandis Type an integer or a decimal)
1. Evaluate the indefinite integral sen (2x) – 7 cos(9x) – sec°(3x) dx = 2. Evaluate the indefinite integral | cor(3x) – sec(x) tant(x) + 9 tan(2x) dx = 3. Calculate the indefinite integral using the substitution rule | sec?0 tan*o do =
Evaluate the following integral using integration by parts. ( 164 16x In 9x dx Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below. O A. 8x In (8x?) - S(9x) di O B. 9x In (9x) S(8x2) OC. 8x? In (9x) – (8x) dx D. 8x In (8x) – (9x) dx
please help with number 15
15. Given the following definite integral, lo x + x dx a. Evaluate the integral using limits, showing all steps: b. Confirm your result by using the rules of integration and the Fundamental Theorem of Calculus: TUUKU U uit alta vi tile region bounded by the following equations (Note that this is an "area between functions" question, and not a question of finding the definite integral): y = 5x - 1 y = 0 x...
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 complete a and b, circle
answers
Evaluate the following integral using the Fundamental Theorem of Calculus. Discuss whether your result is consistent with the figure. 10- 8 6- (x² - 4x + 8) dx 42-4 4- 2- х -0.5 0.5 1.5 24 1 19 $(x2 - 4x + 8)dx= 3 0 Is your result consistent with the figure? A. No, because the definite integral is positive and the graph of flies below the x-axis. B. Yes, because the definite...