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Problem 33

Finding an Indefinite Integral In Exercises 15- 3…

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Problem 33

Finding an Indefinite Integral In Exercises 15- 36 , find the indefinite integral and check the result by differentiation.
$\int\left(\sec ^{2} \theta-\sin \theta\right) d \theta$
Problem 34

Finding an Indefinite Integral In Exercises 15- 36 , find the indefinite integral and check the result by differentiation.
$\int(\sec y)(\tan y-\sec y) d y$
Problem 35

Finding an Indefinite Integral In Exercises 15- 36 , find the indefinite integral and check the result by differentiation.
$\int\left(\tan ^{2} y+1\right) d y$
Problem 36

Finding an Indefinite Integral In Exercises 15- 36 , find the indefinite integral and check the result by differentiation.
$\int\left(4 x-\csc ^{2} x\right) d x$
Problem 37

Finding a Particular Solution In Exercises $37-44,$ find the particular solution of the differential equation that satisfies the initial condition(s).
$f^{\prime}(x)=6 x, f(0)=8$
Allan H.
University of Delaware
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 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81

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Problem 32

Finding an Indefinite Integral In Exercises 15- 36 , find the indefinite integral and check the result by differentiation.
$\int\left(\theta^{2}+\sec ^{2} \theta\right) d \theta$

Answer

$$
\frac{a^{3}}{3}+\tan \theta+C
$$

Chapter 4
Integration
Section 1
Antiderivatives and Indefinite Integration
Calculus of a Single Variable

Topics

Indefinite Integrals

Discussion

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Video Transcript

So now we're looking for the anti directed of Oh, they squared. Plus, you can't square later to fail. Well, the 1st 1 we know they had one to the power. From now on, divide that with Theo Derivative of 10 taters He can't squared data So enough hunting this year Close. See now if we take the dreamed of failure 1/3. Thank you. Hued close attention. Okay, we're going to get well, the three comes down off the power and it's for one thing. You just did. Yeah, squared. You're a bit of attention seeking and square when the sea is killed. Makes sense.

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