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Evaluate the indefinite integral.$\int(3 t+2)^{2.4} d t$
$\frac{(3 t+2)^{3.4}}{10.2}+C$
Calculus 1 / AB
Calculus 2 / BC
Chapter 5
Integrals
Section 4
The Substitution Rule
Integration Techniques
Oregon State University
University of Michigan - Ann Arbor
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the integral of three T plus two to the power of 24. We're gonna let you is equal to three T plus two so that d'you is equal to three D T or d'you divided by three is equal to d. T. So therefore, we can pull the 1/3 outs to get the integral of you to the power of 24 youth, which is 1/3 time's you to the power of 25 divided by 25 acts substituting, we end up with one over 75 multiplied by three T plus two to the power of 25.
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