This problem is about evaluating the integral V32 dx (1 — х2)3/2 To start, one would make a suitable trigonometric substitution of x in terms of 0. (a) Find such a substitution: x = (b) Find a correct resulting 0 integral from the choices below, i.e. find a corresponding integral with respect to the variable 0: / sec e de do sec2 0 sec? 0 do sec 0 do do sec? 0 V32 (c) The value of dx = Square root of (1 – x²)3/2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 30EQ
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This problem is about evaluating the integral
V32
dx
(1 — х2)3/2
To start, one would make a suitable trigonometric substitution of x in terms of 0.
(a) Find such a substitution: x =
(b) Find a correct resulting 0 integral from the choices below, i.e. find a corresponding integral with respect to the variable
0:
/ sec e de
do
sec2 0
sec? 0 do
sec 0 do
do
sec? 0
V32
(c) The value of
dx = Square root of
(1 – x²)3/2
Transcribed Image Text:This problem is about evaluating the integral V32 dx (1 — х2)3/2 To start, one would make a suitable trigonometric substitution of x in terms of 0. (a) Find such a substitution: x = (b) Find a correct resulting 0 integral from the choices below, i.e. find a corresponding integral with respect to the variable 0: / sec e de do sec2 0 sec? 0 do sec 0 do do sec? 0 V32 (c) The value of dx = Square root of (1 – x²)3/2
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