-COS X-sin x6.(-)CoS Xsin xx3 sin x dx = -x cos x+3x2 sin x + 6x cos x-6 sin x +CHomework:a) Evaluate the following integrals1)xe3x dx2) x2 sin x dx3) x sin 2x dx4) Vx In x dx5)fx In x dx6) (In x)² dxIn xdx8) In(x2 + 4)dx9) sin-1x dx10) tan-(2x)dx11)x tan-1 xdx12) ex sin x dx13)|14) | sin(ln x)dx15) cos(In x) dxe2x cos 3x dx17) x(tan x)²dx18) x e**dx16) | x(sec x)² dxe4.20)|x² In x dx19)sec-1 Vo deb) Evaluate the following integrals using tabular integration by parts1) rin r dx

Answered: Image /qna-images/answer/94e85122-10de-44df-872d-953499a9c625.jpg

Answered: a) Evaluate the following integrals 1)/…

Math

Calculus

a) Evaluate the following integrals 1)/ xe dx 2) x2 sin x dx 3) x sin 2x dx

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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Question

-COS X
-sin x
6.
(-)
CoS X
sin x
x3 sin x dx = -x cos x+3x2 sin x + 6x cos x-6 sin x +C
Homework:
a) Evaluate the following integrals
1)
xe3x dx
2) x2 sin x dx
3) x sin 2x dx
4) Vx In x dx
5)f
x In x dx
6) (In x)² dx
In x
dx
8) In(x2 + 4)dx
9) sin-1x dx
10) tan-(2x)dx
11)
x tan-1 xdx
12) ex sin x dx
13)|
14) | sin(ln x)dx
15) cos(In x) dx
e2x cos 3x dx
17) x(tan x)²dx
18) x e**dx
16) | x(sec x)² dx
e
4
.
20)|
x² In x dx
19)
sec-1 Vo de
b) Evaluate the following integrals using tabular integration by parts
1) rin r dx

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