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mathematics
calculus 10th edition

Questions and Answers of Calculus 10th Edition

In Exercises determine whether the improper integral diverges or converges. Evaluate the integral if it converges. f xe-4x dx
In Exercises find the trigonometric integral. | X sec4 dx
In Exercises find the trigonometric integral. s tan 0 sec 0 de
In Exercises determine whether the improper integral diverges or converges. Evaluate the integral if it converges. 4 X dx
In Exercises determine whether the improper integral diverges or converges. Evaluate the integral if it converges. Si 3 x dx
In Exercises evaluate the limit, using L’Hôpital’s Rule if necessary. x@ − 1 - 1' lim x1xb where a, b = 0
In Exercises evaluate the limit, using L’Hôpital’s Rule if necessary. sin 3x lim x→0 sin 5x
In Exercises determine whether the improper integral diverges or converges. Evaluate the integral if it converges. X xp. 9
In Exercises find the trigonometric integral. S cos³(x - 1) dx
In Exercises find the trigonometric integral. TTX sin² dx 2
In Exercises use integration by parts to find the indefinite integral. arctan 2x dx
In Exercises evaluate the limit, using L’Hôpital’s Rule if necessary. In x³ lim x1 x² - 1
In Exercises evaluate the limit, using L’Hôpital’s Rule if necessary. X11 1 lim x1x²4 - 1
In Exercises explain why the evaluation of the integral is incorrect. Use the integration capabilities of a graphing utility to attempt to evaluate the integral. Determine whether the utility gives
In Exercises determine whether the improper integral diverges or converges. Evaluate the integral if it converges. dx
In Exercises use integration by parts to find the indefinite integral. x arcsin 2x dx
In Exercises evaluate the limit, using L’Hôpital’s Rule if necessary. lim x-0+ ex = (1 + x) x³
In Exercises evaluate the limit, using L’Hôpital’s Rule if necessary. lim x-5- 25 - x² x-5
In Exercises explain why the evaluation of the integral is incorrect. Use the integration capabilities of a graphing utility to attempt to evaluate the integral. Determine whether the utility gives
In Exercises use integration by parts to find the indefinite integral. S In√x² - 4 dx
In Exercises explain why the evaluation of the integral is incorrect. Use the integration capabilities of a graphing utility to attempt to evaluate the integral. Determine whether the utility gives
In Exercises explain why the evaluation of the integral is incorrect. Use the integration capabilities of a graphing utility to attempt to evaluate the integral. Determine whether the utility gives
In Exercises evaluate the limit, using L’Hôpital’s Rule if necessary. lim x-2 x² 3x - 10 x+2
In Exercises evaluate the limit, using L’Hôpital’s Rule if necessary. lim x→0 /25 - x² - 5 X
In Exercises use integration by parts to find the indefinite integral. [x√x-1dx x√x - 1 dx
In Exercises explain why the integral is improper and determine whether it diverges or converges. Evaluate the integral if it converges. 0 Leir e3x dx 1
In Exercises evaluate the limit(a) Using techniques (b) Using L’Hôpital’s Rule. 4x - 3 lim x-00 x 5r2+1
In Exercises use integration by parts to find the indefinite integral. S e2x sin 3x dx
In Exercises evaluate the limit, using L’Hôpital’s Rule if necessary. lim x-3 x² - 2x - 3 x - 3
In Exercises explain why the integral is improper and determine whether it diverges or converges. Evaluate the integral if it converges. 2 2 1 - (1 – 1)z a y 1 1 1 1 2 X
In Exercises use integration by parts to find the indefinite integral. S xe3x dx
In Exercises use integration by parts to find the indefinite integral. [x x³ex dx
In Exercises explain why the integral is improper and determine whether it diverges or converges. Evaluate the integral if it converges. 1 Лхах dx X y 4 3 2 1 2 3 4 X
In Exercises explain why the integral is improper and determine whether it diverges or converges. Evaluate the integral if it converges. S 50 40 30 20 10 1 (x-3)³/2 12 dx - X
In Exercises use the basic integration rules to find or evaluate the integral. 2x x - 3 dx
In Exercises evaluate the limit(a) Using techniques (b) Using L’Hôpital’s Rule. lim x-0 sin 6x 4x
In Exercises evaluate the limit(a) Using techniques (b) Using L’Hôpital’s Rule. lim Х→00 5x² - 3x + 1 3x² - 5
In Exercises decide whether the integral is improper. Explain your reasoning. π/4 0 csc x dx
In Exercises use the basic integration rules to find or evaluate the integral. √3/2 2x2x 2x√ √2x-3 dx
In Exercises use the basic integration rules to find or evaluate the integral. 100 100x² dx
In Exercises evaluate the limit(a) Using techniques (b) Using L’Hôpital’s Rule. lim x-6 x + 10 - 4 X-6 9
In Exercises evaluate the limit(a) Using techniques (b) Using L’Hôpital’s Rule. lim x-14 2x²+ 13x + 20 x + 4
In Exercises decide whether the integral is improper. Explain your reasoning. -00 sin x 4 + x² dx
In Exercises decide whether the integral is improper. Explain your reasoning. cos x dx
In Exercises use the basic integration rules to find or evaluate the integral. X 3/4-x dx
In Exercises use the basic integration rules to find or evaluate the integral. Si In(2x) X dx
In Exercises complete the table and use the result to estimate the limit. Use a graphing utility to graph the function to support your result. lim x→∞ X 6x √3x² - 2x f(x) 1 10 10² 10³ 104 105
In Exercises evaluate the limit(a) Using techniques (b) Using L’Hôpital’s Rule. 3(x - 4) lim 2 x-4x² - 16 X
In Exercises decide whether the integral is improper. Explain your reasoning. Se ex dx
In Exercises complete the table and use the result to estimate the limit. Use a graphing utility to graph the function to support your result. lim x5e−x/100 x →∞ X f(x) 1 10 10² 10³ 104 105
In Exercises decide whether the integral is improper. Explain your reasoning. In(x²) dx
In Exercises use the basic integration rules to find or evaluate the integral. X x² - 49 2 dx
In Exercises decide whether the integral is improper. Explain your reasoning. 2x - 5 r2 – 5x + 6 dx
In Exercises use the basic integration rules to find or evaluate the integral. xex²-1 dx
In Exercises complete the table and use the result to estimate the limit. Use a graphing utility to graph the function to support your result. 1 - ex lim x-0 X f(x) X -0.1 -0.01 -0.001 0.001 0.01 0.1
In Exercises decide whether the integral is improper. Explain your reasoning. So dx 5r – 3
In Exercises decide whether the integral is improper. Explain your reasoning. S² dx x³
In Exercises use the basic integration rules to find or evaluate the integral. x√x² - 36 dx
In Exercises complete the table and use the result to estimate the limit. Use a graphing utility to graph the function to support your result. sin 4x lim x-o sin 3x X f(x) -0.1 -0.01 -0.001
In Exercises use integration tables to find the indefinite integral. Vx arctan x3/2 dx
The cross section of a precast concrete beam for a building is bounded by the graphs of the equationswhere x and y are measured in feet. The length of the beam is 20 feet (see figure).(a) Find the
A population is growing according to the logistic modelwhere t is the time in days. Find the average population over the interval [0, 2]. 5000 1+ 4.8-1.91 N = -
A population is growing according to the logistic model Evaluate *#7/2 0 dx 1 + (tan.x)√₂.
In Exercises use a table of integrals with forms involving a + bu to find the indefinite integral. 2 x²(4 + 3x)² dx
In Exercises use a table of integrals with forms involving the trigonometric functions to find the indefinite integral. [ cos4 3x dx
In Exercises use a table of integrals with forms involving a + bu to find the indefinite integral. x² - dx 5 + x
In Exercises use a table of integrals with forms involving the trigonometric functions to find the indefinite integral. sin¹ √√x √x dx
In Exercises use a table of integrals with forms involving the trigonometric functions to find the indefinite integral. | 1 √x(1 cos S√x)" - dx
In Exercises use a table of integrals with forms involving √a²-u² to find the indefinite integral. 1 | PVI-3dx
In Exercises use a table of integrals with forms involving √a²-u² to find the indefinite integral. √64-4 dx
In Exercises use a table of integrals with forms involving the trigonometric functions to find the indefinite integral. 1 1 + cot 4x dx
In Exercises use a table of integrals with forms involving eu to find the indefinite integral. 1 1 + 2x dx
In Exercises find the indefinite integral (a) Using integration tables (b) Using the given method Integral [x²e x²e3x dx Method Integration by parts
In Exercises use a table of integrals with forms involving eu to find the indefinite integral. [e-4x sin 3x dx
In Exercises find the indefinite integral (a) Using integration tables (b) Using the given method Integral S x³ In x dx Method Integration by parts
In Exercises use a table of integrals with forms involving ln u to find the indefinite integral. x² In x dx
In Exercises find the indefinite integral (a) Using integration tables (b) Using the given method Integral 1 x²(x + 1) dx S Method Partial fractions
In Exercises use a table of integrals with forms involving ln u to find the indefinite integral. [ (in .x)³ dx
In Exercises use integration tables to find the indefinite integral. Sa arcsin 4x dx
In Exercises use partial fractions to find the indefinite integral. 6x x³ - 8 dx
In Exercises find the indefinite integral (a) Using integration tables (b) Using the given method Integral 1 x² - 36 dx Method Partial fractions
In Exercises use integration tables to find the indefinite integral. 1 4 – ܐx ܐ - dx
In Exercises use integration tables to find the indefinite integral. S x arccsc(x² + 1) dx
In Exercises use integration tables to find the indefinite integral. 1 x² + 4x + 8 8 dx
In Exercises use integration tables to find the indefinite integral. 4x (2 – 5x)2 ' dx
In Exercises use integration tables to find the indefinite integral. ex arccos ex dx
In Exercises use partial fractions to find the indefinite integral. x² + 5 x³ x² + x + 3 dx
In Exercises use integration tables to find the indefinite integral. ex 1 tan ex dx
In Exercises use integration tables to find the indefinite integral. Ꮎ3 1 + sin Ꮎ4 de
In Exercises use partial fractions to find the indefinite integral. S x² + 6x + 4 x4 + 8x² + 16 dx
In Exercises evaluate the definite integral. Use a graphing utility to verify your result. *5 S₁²= x - 1 1) dx x²(x + 1)
In Exercises evaluate the definite integral. Use a graphing utility to verify your result. 3 4x² + 5x + 1 dx
In Exercises evaluate the definite integral. Use a graphing utility to verify your result. S x² - x x² + x + 1 dx
In Exercises use integration tables to find the indefinite integral. X 1 sec x² - dx
In Exercises use integration tables to find the indefinite integral. cos ( 3 + 2 sin 0 + sin² de 0
In Exercises use substitution and partial fractions to find the indefinite integral. sin x cos x + cos²x dx
In Exercises evaluate the definite integral. Use a graphing utility to verify your result. S x + 1 x(x² + 1) 1) dx
In Exercises use integration tables to find the indefinite integral. 1 1[1 + (In 1)2] dt
In Exercises use integration tables to find the indefinite integral. x² √2 + 9x² dx
In Exercises use substitution and partial fractions to find the indefinite integral. 5 cos x sin² x + 3 sin x - 4 dx

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