6x + 2x xp + Step 1 Notice that the numerator is the derivative of the denominator. Thus the integral is of the form dx. Use the Logarithmic Formula for integrals. dx = du = Injul + C u Let u = x° +x² x° + x? and du = 6x° + 2x 6x° + 2x dx. Substitute these values to write the integral in terms of u and du. + 2x dx = du du x6 + x2 и Step 2 Next, we perform the integration with respect to u. Use C for the constant of integration. Remember to use In(lu|) where appropriate. du Submit Skip (you cannot come back)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 30E
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Evaluate the integral.

 
 
6x5 + 2x
x6 + x2
 dx
 
 
 
6x + 2x
xp
+
Step 1
Notice that the numerator is the derivative of the denominator. Thus the integral is of the form
dx. Use
the Logarithmic Formula for integrals.
dx =
du =
Injul + C
u
Let u = x° +x²
x° + x?
and du =
6x° + 2x
6x° + 2x
dx. Substitute these
values to write the integral in terms of u and du.
+ 2x
dx =
du
du
x6 + x2
и
Step 2
Next, we perform the integration with respect to u. Use C for the constant of integration. Remember to use
In(lu|) where appropriate.
du
Submit
Skip (you cannot come back)
Transcribed Image Text:6x + 2x xp + Step 1 Notice that the numerator is the derivative of the denominator. Thus the integral is of the form dx. Use the Logarithmic Formula for integrals. dx = du = Injul + C u Let u = x° +x² x° + x? and du = 6x° + 2x 6x° + 2x dx. Substitute these values to write the integral in terms of u and du. + 2x dx = du du x6 + x2 и Step 2 Next, we perform the integration with respect to u. Use C for the constant of integration. Remember to use In(lu|) where appropriate. du Submit Skip (you cannot come back)
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