Integrate w.r.t x². 1 1 3/2 Q = S₁¹² S₁²¹ x y (x² + y² +25) ³ ¹² dx dynC 1 Q = S₁²¹ y ₁² (x² + y² + 25)³² d(x²)dy 3 1 (x²+y²+25) 27 +7² +1 1 Q = 1/²/² √√₁² ² + dy 3 +1 0 1 Q = √²/² So¹ √₁²¹ y × ²/² (x² + y² + 25) ³ dy 5 1 Q = √ √ ₁² (x² + y² + 25)ž ydy 1 1 Q = = √ √ ₁² [ ²7 (y² + 26) So ½ (y² +26) ½ − (y² + 25)%]d(y²) Q = — × ² [(y² +26) ½ − (y² + 25)%]1 0 Q = 3/5 [(27) 7/2 + +(25)/2 - 2(26)7/2] Q = 33. 15 nC NIC
Integrate w.r.t x². 1 1 3/2 Q = S₁¹² S₁²¹ x y (x² + y² +25) ³ ¹² dx dynC 1 Q = S₁²¹ y ₁² (x² + y² + 25)³² d(x²)dy 3 1 (x²+y²+25) 27 +7² +1 1 Q = 1/²/² √√₁² ² + dy 3 +1 0 1 Q = √²/² So¹ √₁²¹ y × ²/² (x² + y² + 25) ³ dy 5 1 Q = √ √ ₁² (x² + y² + 25)ž ydy 1 1 Q = = √ √ ₁² [ ²7 (y² + 26) So ½ (y² +26) ½ − (y² + 25)%]d(y²) Q = — × ² [(y² +26) ½ − (y² + 25)%]1 0 Q = 3/5 [(27) 7/2 + +(25)/2 - 2(26)7/2] Q = 33. 15 nC NIC
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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I want explain in more details in last three line
![Integrate w.r.t x².
1
1
Q = S²¹² S²¹ xy(x² + y² +25)³² dx dynC
1 1
1
Q = ²½ S₁²¹ y S₁²¹ (x² + y² + 25)%²d(x²)dy
2
1
3
+1
(x²+y²+25) 2
dy
3
+1
0
5
1
2
Q = √²/² √ √ √ √ y × ²/³² (x² + y² + 25) ³ dy
2
5
1
Q = = ₁² (x² + y² + 25) * ydy
Sª²
²
5
1 1 1
Q = √
So¹ [ ½ (y² +26) ½ − (y² + 25)%]d(y²)
-
2
1
Q = √ √ × ² / [(y² +26)
[(y² +26) ¹/2 - (y² +25) 7/2] t
10
0
1
Q = [(27)² + (25) ¹/² − 2(26)¹/2]
7/2
-
35
Q = 33.15 nC
ها - 2
Q =
=
1
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Transcribed Image Text:Integrate w.r.t x².
1
1
Q = S²¹² S²¹ xy(x² + y² +25)³² dx dynC
1 1
1
Q = ²½ S₁²¹ y S₁²¹ (x² + y² + 25)%²d(x²)dy
2
1
3
+1
(x²+y²+25) 2
dy
3
+1
0
5
1
2
Q = √²/² √ √ √ √ y × ²/³² (x² + y² + 25) ³ dy
2
5
1
Q = = ₁² (x² + y² + 25) * ydy
Sª²
²
5
1 1 1
Q = √
So¹ [ ½ (y² +26) ½ − (y² + 25)%]d(y²)
-
2
1
Q = √ √ × ² / [(y² +26)
[(y² +26) ¹/2 - (y² +25) 7/2] t
10
0
1
Q = [(27)² + (25) ¹/² − 2(26)¹/2]
7/2
-
35
Q = 33.15 nC
ها - 2
Q =
=
1
ງ ບ
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