Section 7.1 Problem (1): Sandy is finding the reduction formula for cos'adx, and has started with the following assignment of u, v, du, and dv: U = cos" dv = cos x dx du = (n – 1) cos"-2 r dx v = sin r Sandy is off to a bad start, having made an error from which it is nearly impossible to recover. In one sentence, explain Sandy's error. Problem (2): Evaluate the following integrals. Note: some integrals may not require integration by parts. (e) /a (a) / (c) / e2" cos(3x) x³e dx 2x tan-(x2) dr 3. 0. (f) / z(ln 3z)2 dz (Hint: start with e3 tan(e3) dx (d) / t sin(3t) dt (b) the u-sub u = In 3z.) %3D 1ontu of integrals whose evaluations require the applications of more than one traightforward. Each
Section 7.1 Problem (1): Sandy is finding the reduction formula for cos'adx, and has started with the following assignment of u, v, du, and dv: U = cos" dv = cos x dx du = (n – 1) cos"-2 r dx v = sin r Sandy is off to a bad start, having made an error from which it is nearly impossible to recover. In one sentence, explain Sandy's error. Problem (2): Evaluate the following integrals. Note: some integrals may not require integration by parts. (e) /a (a) / (c) / e2" cos(3x) x³e dx 2x tan-(x2) dr 3. 0. (f) / z(ln 3z)2 dz (Hint: start with e3 tan(e3) dx (d) / t sin(3t) dt (b) the u-sub u = In 3z.) %3D 1ontu of integrals whose evaluations require the applications of more than one traightforward. Each
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 1 please
Transcribed Image Text:Section 7.1
Problem (1): Sandy is finding the reduction formula for
cos'adx, and has started with the following
assignment of u, v, du, and dv:
U = cos"
dv = cos x dx
du = (n – 1) cos"-2 r dx
v = sin r
Sandy is off to a bad start, having made an error from which it is nearly impossible to recover. In one
sentence, explain Sandy's error.
Problem (2): Evaluate the following integrals. Note: some integrals may not require integration by parts.
(e) /a
(a) /
(c) / e2" cos(3x)
x³e dx
2x tan-(x2) dr
3.
0.
(f) /
z(ln 3z)2 dz (Hint: start with
e3 tan(e3) dx
(d) /
t sin(3t) dt
(b)
the u-sub u = In 3z.)
%3D
1ontu of integrals whose evaluations require the applications of more than one
traightforward. Each
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