Ch.4 Integration Flashcards

1
Q

Definition: f(x) is integrable in (a,b) if…

A

it has an indefinite integral F(x) in (a,b) that is continuous in [a,b]

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2
Q

Integral of coesc^2(x)

A

-cot(x) + c

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3
Q

Integral of 1 / (1+x^2)

A

tan^(-1)(x) + c

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4
Q

Integral of 1 / sqrt(1-x^2)

A

sin^-1(x) + c

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5
Q

Integral of 1 / sqrt(1+x^2)

A

sinh^-1(x) + c

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