Consider the following function. x2 xp (a) Determine an appropriate trigonometric substitution. O Use x = V7 sin(0), where - " ses", since the integrand contains the expression Vx2 - 7. 2 2 O Use x = V7 tan(0), where - . 2 since the integrand contains the expression Vx2 - 7. 2 Use x = V7 sec(0), where o s e < " or n se < , since the integrand contains the expression Vx2 - 7. 2 2 (b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral. x2 dx = 7 - S(C de

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Having trouble figuring out how to use triometric substituion on this.

Consider the following function.
x2
dx
7
(a) Determine an appropriate trigonometric substitution.
O Use x =
Vī sin(e), where -
2
2
since the integrand contains the expression
2
7.
V7 tan(0), where
since the integrand contains the expression x2 - 7.
2
Use x =
Use x = V7 sec(e), where 0 <e < " or n s e <
since the integrand contains the expression
2
x2
- 7.
2
(b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral.
de
x² - 7
= xp
Transcribed Image Text:Consider the following function. x2 dx 7 (a) Determine an appropriate trigonometric substitution. O Use x = Vī sin(e), where - 2 2 since the integrand contains the expression 2 7. V7 tan(0), where since the integrand contains the expression x2 - 7. 2 Use x = Use x = V7 sec(e), where 0 <e < " or n s e < since the integrand contains the expression 2 x2 - 7. 2 (b) Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the integral. de x² - 7 = xp
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