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Problem

Evaluate the indefinite integral. $\int \frac{\s…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67

Problem 23 Medium Difficulty

Evaluate the indefinite integral.
$\int\left(x^{2}+1\right)\left(x^{3}+3 x\right)^{4} d x$

Answer

$\frac{\left(x^{3}+3 x\right)^{5}}{15}+C$

Related Courses

Calculus 1 / AB

Calculus 2 / BC

Biocalculus Calculus for the Life Sciences

Chapter 5

Integrals

Section 4

The Substitution Rule

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Integrals

Integration Techniques

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Video Transcript

this question asks us to evaluate the given Integral. Given that are you is X cubed plus three x we can make Are you What is in princes? Over here are 1/3 d u Is gonna be X squared plus one d x. Okay, let's pull the 1/3 out because it's a constant Let me have the integral of you to the fourth D'You Remember, when we take the integral we increased exported by one divide by the new expert This is equivalent to 1/15 you to the theft. Lastly, instead of 1/15 you we can plug in what US x cubed plus three x and this to the power five plus C.

We have video lessons for 86.43% of the questions in this textbook

James Stewart

Biocalculus Calculus for the Life Sciences

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