Problem

Find the general indefinite integral. $ \disp…

01:30

Question

Answered step-by-step

Problem 7 Easy Difficulty

Find the general indefinite integral.

$ \displaystyle \int (5 + \frac{2}{3}x^2 + \frac{3}{4}x^3) \, dx $

Video Answer

Solved by verified expert

Textbook Answer

Official textbook answer

Video by Gregory Higby

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Watch More Solved Questions in Chapter 5

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 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Video Transcript

Alright We're tasked with the integral of five. Yes sure. Two thirds execute. It's squared. I said that wrong. Plus three force X cubed dx. And the theme in this problem is that when you're asked to do the integral of X to the end power, I'm just going to give you one rule because it's the same rule over and over again. You add one to the experiment and I like to multiply by the reciprocal of the new excrement. And what we learn is that you can do each piece individually so there's no expert on this this first one. So you just add an excellent uh I guess you can think of as adding X to the first and then divided by one. Um But it's the same thing that you're a diva five X. Is five. So what I like to do is just add one to the excrement and then multiply by the reciprocal and just think about if you took this value multiplied by 1 3rd. that three is going to go to the denominator to give you two nights. And you do multiply same thing with this next one is you add one to your experiment. But they have to multiply by your new exponent in four times forward. Give me 16, you have three and then don't forget about plus C. I guess. You forgot to write plus C over here because the derivative of a constant is zero. So we need to write that down and you can double check this is correct because it's derivative is the same thing as what's up here. So we're right.

Get More Help with this Textbook

James Stewart

Calculus: Early Transcendentals

View More Answers From This Book

Find Another Textbook

Study Groups

Study with other students and unlock Numerade solutions for free.

Problem