Concept explainers
Evaluating a Double
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
EBK CALCULUS: EARLY TRANSCENDENTAL FUNC
- Substitution after rewriting the integrand Evaluate V4 = dx. - x6arrow_forwardEvaluating Triple Iterated Integrals Evaluate the integrals in Exercises 7-20 10. $1 S S 0 JO cl ✓x²+3y² 3-3x 3-3x-y clc2 JU 0 dy dz dy dx du drarrow_forwardFill-in the blank. Evaluating the integral f +x+1 dx equals (x + _+ C) x2 +1arrow_forward
- using linear DEarrow_forwardIntegral help please. I have a photo of the question. thank you!arrow_forwardUsing the method of u-substitution, 5 [²(2x - 7)² de where U = du: = a = b = f(u) = = ·b [ f(u) du a It (enter a function of x) da (enter a function of ä) (enter a number) (enter a number) (enter a function of u). The value of the original integral is 9.arrow_forward
- Finding u and du In Exercises 1–4, complete the table by identifying u and du for the integral. 1.. | F(9(x))/(x) dx u = g(x) du = g' (x) dx | (52? +1)*(10z) dæ | f(9(2))/(2) dæ 1 = g(x) du = g (x) dx 2 /æ³ +1 dx 3. | Fo(2))/ (x) dz = g(z) du = g (x) dæ tan? x sec? x dx 4. | f(g(x))g(x) dæ u = g(x) du = g (x) dx COs e sin? 2.arrow_forwardFinding the work done in moving an object. Work Done by a Variable Force Along a Line. If a variable force F(x) moves an object in a positive direction along the r-axis from z = a to z = b, then the work done on the object is = [ F(=) dz W = Part 1. Setup the integral that will give the work done by a constant force, F = 12 lb, in moving a chair (along a line) a distance of 7 feet. W = Note: Assume that initial position of the chair is at z = 0. Part 2. Calculate the done by the force described above. w = foot-pounds. Note: enter your answer as an exact value without using decimals.arrow_forwardFinding an Indefinite Integral In Exercises 9–30, find the indefinite integral and check the result by differentiation. x(5x2 + 4)° dx 15. 16. x? ;dx (1 + x³)? 6x? 23. 24. dx (4x3 – 9)3 -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