- 9 √²x²=2 dx = √² ((x² + 1) = 10) dx 1 + 10 1 +

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 41E
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Use The Fundamental Theorem of Calculus and the antiderivative found in Step 2 to evaluate the definite
integral.
[²x²=2 dx = ['((x² + 1) = 10) dx
1 +
1 +
- [² (1-1202) ox
dx
=
=
||
(x-
(₁
1-
10 arctan(x)
10
1
0
arctan(1))-(L
X
10 arctan
× ))
Transcribed Image Text:Use The Fundamental Theorem of Calculus and the antiderivative found in Step 2 to evaluate the definite integral. [²x²=2 dx = ['((x² + 1) = 10) dx 1 + 1 + - [² (1-1202) ox dx = = || (x- (₁ 1- 10 arctan(x) 10 1 0 arctan(1))-(L X 10 arctan × ))
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