Integration Flashcards by David B

Q

What is the integral of xⁿ?

A

(xⁿ⁺¹/n+1 ) + c

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Q

What is the integral of e^x?

A

e^x + c

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Q

What is the derivative of x^-1?

A

ln|x| + c

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Q

What is the derivative of cosx?

A

sinx + c

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Q

What is the integral of sinx?

A

-cosx + c

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Q

What is the integral of sec²x?

A

tanx + c

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Q

What is the integral of cosecx*cotx?

A

-cosecx + c

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Q

What is the integral of cosec²x?

A

-cotx + c

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Q

What is the derivative of secx*tanx?

A

secx + c

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Q

How do you integrate f’(ax+b)?

A

Integral of f’(ax+b) = 1/a * f(ax+b) + c

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Q

What is the integral of tanx?

A

ln|secx| + c

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Q

What is the integral of secx?

A

ln|secx + tanx| + c

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Q

What is the integral of cotx?

A

ln|sinx| + c

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Q

What is the integral of cosecx?

A

-ln|cosecx + cotx| + c

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