Indefinite
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- CONCEPT CHECK Determine whether each of the following statements is true or false, and explain why. Substitution can often be used to turn a complicated integral into a simpler one.arrow_forwardExplain the difference between an indefinite integral and a definite integral.arrow_forwardQuestion Se Given (-6x6 - 4x5 + 5x - 3)dx, evaluate the indefinite integral. Do not include +C in your answer. Provide your answer below: FEEDBACK MORE INSTRUCTION SUBMITarrow_forward
- Use substitution to find the indefinite integral. 7u =du Vu-5 Describe the most appropriate substitution case and the values of u and du. Select the correct choice below and fill in the answer boxes within your choice. O A. Substitute u for the quantity in the denominator. Let v = so that dv = () du. B. Substitute u for the quantity under the root. Let v = u- 5, so that dv = ( 1 ) du. C. Substitute u for the quantity in the numerator. Let v = that dv = () du. so Use the substitution to evaluate the integral. 7u du =arrow_forwardUse the table of integrals, or a computer or calculator with symbolic integration capabilities, to find the indefinite integral. 19 Vx + 14 Click here to view page 1 of the table of integrals. Click here to view page 2 of the table of integrals. 19 dx = + 14arrow_forwardUse a change of variables to find the indefinite integral. Check your work by differentiation. 1 xp- 4 – 49x2 14- 49x2arrow_forward
- Use a change of variables to evaluate the following indefinite integral. 2x (x? -2) 102 dx Determine a change of variables from x to u. Choose the correct answer below. OA. u=x B. u= (x -2) 102 O B. u= %3D O C. u= 2x D. u=x -2 =X-2 Write the integral in terms of u. 2x (2 -2) 102 dx = Sa duarrow_forwardEvaluate the definite integral. Axe dx 16204 Additional Materials eBookarrow_forwardPlease answer number 3.Evaluate the indefinite integrals of the following functions:(show your detailed solutions)arrow_forward
- Use a change of variables to evaluate the following indefinite integral. 2x (x² - 2) 102 dx Determine a change of variables from x to u. Choose the correct answer below. O A. u=x² =(x² - 2) 10 (x² -2) 102 O B. u= O C. u=2x D. u=x- 2 Write the integral in terms of u. S2x (-2) 102 dx%3= 102 du Evaluate the integral. |2x (x -2) 102 dx%3Darrow_forwardDirections: Calculate the following indefinite integral (make sure you include +C as part of your answer). x - 10 √ (18-²202² +22)8 dx -arrow_forwardEvaluate the definite integral two ways: first by a u-substitution in the definite integral and then by a u-substitution in the corresponding indefinite integral. Enter the exact answer. /1 – x dx = || %3Darrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,