Evaluate the integral. 10x° + 2x dx 10 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. du = Inju| + C Let u = and du = dx. Substitute these values to write the integral in terms of u and du. 10x° + 2x +10 + X | In(10+2리+ c) | x +x*| + c) ,2 = xp

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 40RE
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Evaluate the integral.
10x° + 2x
dx
x10 + x2
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.
du = Injul + C
Let u =
and du =
dx. Substitute these values to write the integral in terms of
u and du.
10x° + 2x
In(\x10 + x²| + c) ×
dx =
+ x
Transcribed Image Text:Evaluate the integral. 10x° + 2x dx x10 + x2 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. du = Injul + C Let u = and du = dx. Substitute these values to write the integral in terms of u and du. 10x° + 2x In(\x10 + x²| + c) × dx = + x
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