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Problem

Evaluate the definite integral. $\int_{1 / 6}^{1…

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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 41 Hard Difficulty

Evaluate the definite integral.
$\int_{0}^{1} x^{2}\left(1+2 x^{3}\right)^{5} d x$

Answer

$\frac{182}{9}$

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 definite integral We know that if are you, is what's in parentheses then we know that one sex do you is X square D backs. Therefore, we can pull out 16 because it's a constant. And then we have we know we have our limits. From 1 to 3, we change our limits of integration of X is one than US three x zero than you is one. And now we can integrate. We increase the exported by one divide by the new exponents, which gives us 1/36 you to the sex from 1 to 3, which means we now have won over 36 times three to the sex minus one to the sex, which gives us 1 80 to divide by nine.

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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