EXERCISE 56 Integrate by parts to evaluate the following integrals. 1. 2. fre In x dx. xe² dx. Ans. e-(x – 1) + C. Jo cos e do. cos 0 + 0 sin 0 +C. 4. x sin 2x dx. 3. Sin-1 x dx. Ans. x Sin-1 x + VT - x² + C. 6. STan-iya Tan-1 y dy. |(23 + 1) In x dx. (1x4 + x) In x - text – x + C. 7. 8. Vã In 2x dx. dx. (3x – 2)(x + 1)3/2 + C. 9. 10. I dx. (3x2 – 8)(x2 + 4)3/2 + C. 12. f: Sec-1 z dz. 13. x sec2 x dx. 3x tan x + 9 In cos }x + C. 14. x sec x tan x dx. sin (In x) dx. Įx [sin (In x) – cos (In x)] + C. 15.
EXERCISE 56 Integrate by parts to evaluate the following integrals. 1. 2. fre In x dx. xe² dx. Ans. e-(x – 1) + C. Jo cos e do. cos 0 + 0 sin 0 +C. 4. x sin 2x dx. 3. Sin-1 x dx. Ans. x Sin-1 x + VT - x² + C. 6. STan-iya Tan-1 y dy. |(23 + 1) In x dx. (1x4 + x) In x - text – x + C. 7. 8. Vã In 2x dx. dx. (3x – 2)(x + 1)3/2 + C. 9. 10. I dx. (3x2 – 8)(x2 + 4)3/2 + C. 12. f: Sec-1 z dz. 13. x sec2 x dx. 3x tan x + 9 In cos }x + C. 14. x sec x tan x dx. sin (In x) dx. Įx [sin (In x) – cos (In x)] + C. 15.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 30EQ
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![EXERCISE 5 6
Integrate by parts to evaluate the following integrals.
1. fre* dx.
Je cos 0 do.
Jx² In x dx.
Sz sin 2r dz.
Ans. e7(x – 1) + C.
cos 0 + 0 sin 0 +c.
4.
5.
Sin-1 x dx.
Ans. x Sin-1 x + VI – x² + C.
6. STan-1 y dy.
7. (x3 + 1) In x dx.
(}x4 + x) In x – tx – x + C.
8. SViln 2 dr.
9.
dx.
*(3x – 2)(x + 1)3/2 + C.
10.
(3x2 – 8)(x² + 4)3/2 + C.
12. Jz Sec- :
13. fr sect jr dr.
14. fre tan x dr.
z dz.
3x tan }x + 9 In cos }x + C.
15. sin (In x) dx.
Įx [sin (In x) – cos (In x)] + C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f967c53-fff8-49e6-9770-7a5f35bdd8dc%2F45a6151c-2267-4ed5-96e4-10a051b3e11a%2Fw0rg30m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:EXERCISE 5 6
Integrate by parts to evaluate the following integrals.
1. fre* dx.
Je cos 0 do.
Jx² In x dx.
Sz sin 2r dz.
Ans. e7(x – 1) + C.
cos 0 + 0 sin 0 +c.
4.
5.
Sin-1 x dx.
Ans. x Sin-1 x + VI – x² + C.
6. STan-1 y dy.
7. (x3 + 1) In x dx.
(}x4 + x) In x – tx – x + C.
8. SViln 2 dr.
9.
dx.
*(3x – 2)(x + 1)3/2 + C.
10.
(3x2 – 8)(x² + 4)3/2 + C.
12. Jz Sec- :
13. fr sect jr dr.
14. fre tan x dr.
z dz.
3x tan }x + 9 In cos }x + C.
15. sin (In x) dx.
Įx [sin (In x) – cos (In x)] + C.
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