Write the integral as the sum of the integral of an odd function and the integral of an even function. L₁ (x³ + 7x² 0 1₁ × ²³ dx + £²₁ (7ײ - L x 3 OL₁₂₁²- + 7x² - 2x - 9) dx (7x²2x9) dx (x³ - 2x - 9) dx + °1² (+³ 3 ° L₁ (x² - 9) dx + L₁ (7x². - 2x) ₁ dx 3 (x³ + 7x²) dx + OLC². (x³ - 2x) dx 3 L²² 7x² dx (-2x - 9) dx 3 + L₁ (7x² - 9) dx Use this simplification to evaluate the integral.
Write the integral as the sum of the integral of an odd function and the integral of an even function. L₁ (x³ + 7x² 0 1₁ × ²³ dx + £²₁ (7ײ - L x 3 OL₁₂₁²- + 7x² - 2x - 9) dx (7x²2x9) dx (x³ - 2x - 9) dx + °1² (+³ 3 ° L₁ (x² - 9) dx + L₁ (7x². - 2x) ₁ dx 3 (x³ + 7x²) dx + OLC². (x³ - 2x) dx 3 L²² 7x² dx (-2x - 9) dx 3 + L₁ (7x² - 9) dx Use this simplification to evaluate the integral.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Write the integral as the sum of the integral of an odd function and the integral of an even function.
3
L₂(x³ + 2x²
+ 7x² - 2x - 9) dx
3
3
O
© £²×³ dx + £²₁ (7ײ -
(7x²2x9) dx
3
0 1²₁ ₁x² - 2x
(x³ - 2x - 9) dx +
3
•Lux².
0 1²₁ (x³ + 7x²) dx =
+
° L₁ (x² - 9) dx + L₂ (²x³².
3
(+³
3
(x³ - 2x) dx
7x² dx
(7ײ - 2x) ₁ dx
3
(-2x - 9) dx
3
+ L₁ (7x² - 9) dx
Use this simplification to evaluate the integral.
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