Question
Asked Sep 13, 2019
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How do I solve problems like the one in the photo (problem number 1)? Like step by step instructio.Please and thank you.

DURING F
1920-Hw
w ptoy atp wrb. Prblem musd be e
3cos (y-)dy
3
X-a
(P
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DURING F 1920-Hw w ptoy atp wrb. Prblem musd be e 3cos (y-)dy 3 X-a (P

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Expert Answer

Step 1

We know  that integration of cos(ax+b) is sin(ax+b)/a

cos(ax+b)dsin(ax + b)
C
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cos(ax+b)dsin(ax + b) C

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Step 2

We integrate the given function and the substitute the limits

2л
sin
y- a
2л
2л
3 cos
Y
Y
y-a ldy = 3
Y
dv = 3cos
0
Y
3Y
27
sin
y-a
27T
Y
2л Y
sin
Y 2
3Y
- sin
- (0) - ӕ
Y
а
27T
3Y
sin ( - a)sin
2л
Il
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2л sin y- a 2л 2л 3 cos Y Y y-a ldy = 3 Y dv = 3cos 0 Y 3Y 27 sin y-a 27T Y 2л Y sin Y 2 3Y - sin - (0) - ӕ Y а 27T 3Y sin ( - a)sin 2л Il

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Step 3

Now, we use the result that sin(pi...

277
3cos
y-a
Y
3Y
[sin (- a)-sin (-a)]
2т
[sin a + sin al = 3Y
2л
3Y
- sin
a
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277 3cos y-a Y 3Y [sin (- a)-sin (-a)] 2т [sin a + sin al = 3Y 2л 3Y - sin a

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Math

Calculus

Integration

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