165. Evaluate the integral using trigonometric substitution: 3 I've -3 √9-x ²dx.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 21RE
Question
Evaluate the integral using trigonometric substitution
162.
163.
164.
√-x²+2x+8
-dx
-x² + 10x
-dx
√x² + 4x-12
V9 - x ²dx.
165. Evaluate the integral using trigonometric substitution:
I'v
166. Find the area enclosed by the ellipse
dx
+
√₁.
= 1.
167. Evaluate the integral
using two different
substitutions. First, let x = cose and evaluate using
trigonometric substitution. Second, let x = sin and use
trigonometric substitution. Are the answers the same?
17
T
a
th
UJ
C
Transcribed Image Text:162. 163. 164. √-x²+2x+8 -dx -x² + 10x -dx √x² + 4x-12 V9 - x ²dx. 165. Evaluate the integral using trigonometric substitution: I'v 166. Find the area enclosed by the ellipse dx + √₁. = 1. 167. Evaluate the integral using two different substitutions. First, let x = cose and evaluate using trigonometric substitution. Second, let x = sin and use trigonometric substitution. Are the answers the same? 17 T a th UJ C
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