Evaluate the following integral. x² dx 2 1₁x²0x (225+x²)²

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 32E
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Evaluate the integral. Use C as the arbitrary constant.
Evaluate the following integral.
x² dx
(225+x²)²
S
x² dx
(225+x²) ²
Evaluate the indefinite integral.
S
(15 tan 0)²
(225+ (15 tan 0)²) ²
x²dx
(225+x²)2
(Use C as the arbitrary constant.)
225
X₁
2
+ 225
12
In
(15 sec 20) de
X +
225+x
+x²
15
+C
www
Transcribed Image Text:Evaluate the following integral. x² dx (225+x²)² S x² dx (225+x²) ² Evaluate the indefinite integral. S (15 tan 0)² (225+ (15 tan 0)²) ² x²dx (225+x²)2 (Use C as the arbitrary constant.) 225 X₁ 2 + 225 12 In (15 sec 20) de X + 225+x +x² 15 +C www
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