Solved: Use the Substitution Formula in Theorem 7 to

Chapter 5, Problem 11E

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QUESTION:

Use the Substitution Formula in Theorem 7 to evaluate the integrals in Exercises 1–46.

a. \(\int_0^1t\sqrt{4+5t}\ dt\)

b. \(\int_{1}^{9} t \sqrt{4+5 t}\ dt\)

Equation Transcription:

Text Transcription:

int_0 ^1 t sqrt 4+5t dt

int_1 ^9 t sqrt 4+5t dt

Questions & Answers

QUESTION:

Use the Substitution Formula in Theorem 7 to evaluate the integrals in Exercises 1–46.

a. \(\int_0^1t\sqrt{4+5t}\ dt\)

b. \(\int_{1}^{9} t \sqrt{4+5 t}\ dt\)

Equation Transcription:

Text Transcription:

int_0 ^1 t sqrt 4+5t dt

int_1 ^9 t sqrt 4+5t dt

ANSWER:

Solution:

Step 1 of 3:

We have to evaluate the integrals of the given function.

Given that

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