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Substitution given Use the given substitution to find the following indefinite
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Chapter 5 Solutions
Calculus: Single Variable, Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)
- 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_forwardEvaluate the indefinite integrals using Substitution (write your answers in terms of x). x* dx = +C. help (formulas) a. 8(+4) da = +C. b.arrow_forwardFill In The Blank Refer to the given below. Find the indefinite integral. Simplify your final answers (Just like how we simplify in our discussions). i. ii. i. iv. V. 1 Attachment(s) • i. (2x*+12x? – 5)dx S(a)(7x-5)dx ii. (-4V)dx ii. iv. (4secxtanx + csc?x)dx (sin²x+ cos²x)dx v. 4 of 4 Submitarrow_forward
- Use a table of integrals to find the consumers' surplus at a price level of p $25 for the following price-demand equation. 17,500 - 50x 500-X p=D(x) = Click the icon to view a brief table of integrals. tio The consumers' surplus is $ (Round to the nearest dollar as needed.) My Questarrow_forwardEvaluate the definite integral below. 1² Enter your answer in exact form or rounded to two decimal places. (12x+18) (-2x² - 6x - 3)² dxarrow_forwardUse 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_forward
- Use formal substitution to find the indefinite integral. Check your result by differentiating. (Use C for the constant of integration.) V 8x + 9arrow_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. 7 (2x – 8)°dx = - iarrow_forwardDirections: Calculate the following indefinite integral (make sure you include +C as part of your answer). x² - 2x √²-²²₁-0 dx x³ - 3x² +1arrow_forward
- Evaluate 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. /2+x dx =arrow_forwardDirections: Calculate the following indefinite integral (make sure you include +C as part of your answer). x - 10 √ (18-²202² +22)8 dx -arrow_forwardDirections: Calculate the following indefinite integral (make sure you include +C as part of your answer). x² – 2x 2 In(x²-3x²+1) + C S x3 3x² + 1 dx =arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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