Integration (1) Flashcards

1
Q

What is ∫ x^3 dx?

A

(x^4)/4 + C

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2
Q

(x^4)/4 + C

A

What is ∫ x^3 dx?

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3
Q

What is ∫ x^-3 dx?

A

(x^-2)/-2 + C = - (1/2x^2) + C

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4
Q

(x^-2)/-2 + C = - (1/2x^2) + C

A

What is ∫ x^-3 dx?

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5
Q

What is ∫ x^(4/3) dx?

A

x^(7/3)/(7/3) + C = (3 3¬(x^7))/7 + C

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6
Q

x^(7/3)/(7/3) + C = (3 3¬(x^7))/7 + C

A

What is ∫ x^(4/3) dx?

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7
Q

What are definite integrals used for?

A

To find the area under the curve

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8
Q

To find the area under the curve

A

What are definite integrals used for?

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9
Q

How to integrate parametrics?

A

Use the chain rule

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10
Q

use the chain rule

A

How to integrate parametrics?

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11
Q

What is integration of e^7x?

A

(1/7)e^7x + C

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12
Q

(1/7)e^7x + C

A

What is integration of e^7x?

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13
Q

What is integration of 2e^(4-3x)?

A

-(2/3)e^(4-3x) + C

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14
Q

-(2/3)e^(4-3x) + C

A

What is integration of 2e^(4-3x)?

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15
Q

What is integration of e^(x/2)?

A

e^(1/2)x dx = 2e^(x/2) + C

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16
Q

e^(1/2)x dx = 2e^(x/2) + C

A

What is integration of e^(x/2)?

17
Q

What is ∫ 1/x dx?

A

ln|x| + C

18
Q

ln|x| + C

A

What is ∫ 1/x dx?

19
Q

What is ∫ 1/(ax+b) dx?

A

1/a ln|ax+b| + C

20
Q

1/a ln|ax+b| + C

A

What is ∫ 1/(ax+b) dx?