Test 1 Flashcards by Samantha Ermekeil | Brainscape

Q

What is the antiderivative of k dx?

A

kx + C

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Q

What is the antiderivative of x^n dx?

A

x^(n+1) / n+1 + C

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Q

What is the antiderivative of 1/x dx?

A

ln |x| + C

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Q

What is the antiderivative of ln(x) dx?

A

You didn’t put anything there

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Q

What is the antiderivative of e^x dx?

A

e^x + C

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Q

What is the antiderivative of a^x dx?

A

a^x / ln(a) + C

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Q

What is the antiderivative of cos x dx?

A

sin x + C

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Q

What is the antiderivative of sin x dx?

A

-cos x + C

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Q

What is the antiderivative of sec^2 x dx?

A

tan x + C

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Q

What is the antiderivative of csc x cot x dx?

A

-csc x + C

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Q

What is the antiderivative of sec x tan x dx?

A

sec x + C

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Q

What is the antiderivative of csc^2 x dx?

A

-cot x + C

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Q

What is the antiderivative of tan x dx?

A

-ln |cos x| + C

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Q

What is the antiderivative of cot x dx?

A

ln |sin x| + C

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Q

What is the antiderivative of csc x dx?

A

-ln |csc x + cot x| + C

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Q

What is the antiderivative of sec x dx?

A

ln |sec x + tan x| + C

Q

What is the antiderivative of k f(x) dx?

A

k integral symbol f(x)dx

Q

What is the derivative of k?

A

0

Q

What is the derivative of x^n?

A

n x^(n-1)

Q

What is the derivative of ln x?

A

1/x

Q

What is the derivative of e^x?

A

e^x

Q

What is the derivative of a^x?

A

a^x ln a

Q

What is the derivative of sin x?

A

cos x

Q

What is the derivative of cos x?

A

-sin x

Q

What is the derivative of tan x?

A

sec^2 x

Q

What is the derivative of csc x?

A

-csc x cot x

Q

What is the derivative of sec x?

A

sec x tan x

Q

What is the derivative of cot x?

A

-csc^2 x

Q

What is the derivative of k f(x)?

A

k d/dx f(x)