Evaluate the indefinite integrals in Exercises

Chapter 5, Problem 5E

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QUESTION:

Evaluate the indefinite integrals in Exercises 1–16 by using the given substitutions to reduce the integrals to standard form.

\(\int(3 x+2)\left(3 x^{2}+4\right)^{4} d x, \quad u=3 x^{2}+4 x\)

Equation Transcription:

Text Transcription:

Integral (3x + 2)(3x2 + 4)^4 dx, u =3x^2 + 4x

Questions & Answers

QUESTION:

Evaluate the indefinite integrals in Exercises 1–16 by using the given substitutions to reduce the integrals to standard form.

\(\int(3 x+2)\left(3 x^{2}+4\right)^{4} d x, \quad u=3 x^{2}+4 x\)

Equation Transcription:

Text Transcription:

Integral (3x + 2)(3x2 + 4)^4 dx, u =3x^2 + 4x

ANSWER:

SOLUTION

Step 1 of 3

Here, we have to evaluate the given indefinite integral by using the given substitution.

……..(1), .

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