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6x + 2x dx + Step 1 Notice that the numerator is the derivative of the denominator. Thus the integral is of the form / dx. the Logarithmic Formula for integrals. du = Inju| +C Let u = x° +: a" +x2 and du = 6x° + 2x | 6x + 2x | dx. Substitute these values to write the integral in terms of u and du. 6x5 + 2x dx = du du Step 2 Next, we perform the integration with respect to u. Use C for the constant of integration. Remember to use In(lul) where appropriate. du

6x + 2x dx + Step 1 Notice that the numerator is the derivative of the denominator. Thus the integral is of the form / dx. the Logarithmic Formula for integrals. du = Inju| +C Let u = x° +: a" +x2 and du = 6x° + 2x | 6x + 2x | dx. Substitute these values to write the integral in terms of u and du. 6x5 + 2x dx = du du Step 2 Next, we perform the integration with respect to u. Use C for the constant of integration. Remember to use In(lul) where appropriate. du

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Evaluate the integral. 6x5 + 2x dx X° + 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 2 Let u = x° +x° a° + x? and du = 6x°+ 2x 6x° + 2x | dx. Substitute these values to write the integral in terms of u and du. 6x5 + 2x dx = du du x6 + x2 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
Transcribed Image Text:Evaluate the integral. 6x5 + 2x dx X° + 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 2 Let u = x° +x° a° + x? and du = 6x°+ 2x 6x° + 2x | dx. Substitute these values to write the integral in terms of u and du. 6x5 + 2x dx = du du x6 + x2 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
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