In Exercises 1–16, evaluate the double
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CALCULUS+ITS APPLICATIONS
- The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. У 20 y = g(x) 10 х 20 35 10 (a) g(x) dx 30 (b) g(x) dx 10 35 (c) g(x) dxarrow_forwardThe graph ofg consists of two straight lines and a semicircle. Use it to evaluate each integral. У y = g(x) 10 х 35 0 20 (a) g(x) dx g(x) dx 10 (b) (c) д(x) dxarrow_forwardThe graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y 12 y = g(x) 6. X 12 9. (a) д(x) dx 18 (b) g(x) dx '21 (c) g(x) dx Need Help? Read It Master It 21arrow_forward
- 4х+2 Evaluate the integral dx. (Hint: Use Algebra to help further rewrite your (x² +1)(x-1) fractions).arrow_forwardThink of a triple integralarrow_forwardUse geometry (i.e., areas of triangles, rectangles, and circles) to find the exact values of each of the definite integrals in Exercises 21-28. (2 – x) dx | 0(4x – 3) dx 21. 22. 23. 24 dx 24. |3х + 1| dx | V1-x² dx Vr2 – x² dx 25. 26. -1arrow_forward
- 3z+4 dr = Use the appropriate substitution to evaluate the following integrals: / e+*dx @ e3x+4 +C O 3e3x+4 + C e3z+5 +C 3x + 5 e3x+4 +Carrow_forwardExplain how the fundamental theorem of calculus relates integrals and derivatives. Edit ▾ Insert Formats B IUX₂ x² A ▾ A ==== E ✓ Σ+ Σ Αarrow_forward(1 point) Calculate the integral: 1 dx = J (x + 8)(x + 4)arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,