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√√16- √16-5x² dx, X = 4 √5 sin 0

√√16- √16-5x² dx, X = 4 √5 sin 0

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Can you help me solve 5? Thank you!
6. sec Ꮎ dᎾ . 2 (b) Evaluate I in terms of (refer to the table of integrals on page 412 in Section 7.2 if necessary). (c) Express I in terms of x. 8. dx 4. = √(x² + 4) ² (a) Show that the substitution x = 2 tan transforms the integral I into i 1 10. I (b) Use the formula terms of 0. (c) Show that sin = [ cos² e de. I co x² √1-x²ols dx √√125²√5² +4² 1 L' (d) Express I in terms of x. In Exercises 5-10, use the indicated substitution to evaluate the integral. 4 5. √ √T /16-5x² dx, x====== sin 0 √5 1/2 dx (4+4x²)²¹ cos² 0 do = 1/20 + 1/20 de Evaluate X √x²+4 and cos 0 = dx, x = sin 0 x = 2 tan 0 x = tan 0 7. sin cos to evaluate I in 9. 2 √√x²+4 dx x√√x²-9 1= dx (x²-4)3/2¹ S x = 3 sec 0 x dx s √x²-4 ==x²-4 and by trigonometric substitution. 2. Is the substitution u = x² - 4 effective for evaluating the integral x = 2 sec 0 hatitution in two ways: using the direct substitution
Transcribed Image Text:6. sec Ꮎ dᎾ . 2 (b) Evaluate I in terms of (refer to the table of integrals on page 412 in Section 7.2 if necessary). (c) Express I in terms of x. 8. dx 4. = √(x² + 4) ² (a) Show that the substitution x = 2 tan transforms the integral I into i 1 10. I (b) Use the formula terms of 0. (c) Show that sin = [ cos² e de. I co x² √1-x²ols dx √√125²√5² +4² 1 L' (d) Express I in terms of x. In Exercises 5-10, use the indicated substitution to evaluate the integral. 4 5. √ √T /16-5x² dx, x====== sin 0 √5 1/2 dx (4+4x²)²¹ cos² 0 do = 1/20 + 1/20 de Evaluate X √x²+4 and cos 0 = dx, x = sin 0 x = 2 tan 0 x = tan 0 7. sin cos to evaluate I in 9. 2 √√x²+4 dx x√√x²-9 1= dx (x²-4)3/2¹ S x = 3 sec 0 x dx s √x²-4 ==x²-4 and by trigonometric substitution. 2. Is the substitution u = x² - 4 effective for evaluating the integral x = 2 sec 0 hatitution in two ways: using the direct substitution
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