Standard integrals Flashcards

1
Q

∫a^xdx

A

ax/ln(a)+c

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2
Q

∫1/(1+x^2)dx

A

tan^-1(x)+c

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3
Q

∫1/(1+x^2)^1/2dx

A

sin^-1(x)+c

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4
Q

∫ sec^2(x)dx

A

tan(x)+c

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5
Q

∫ sec(x)tan(x)dx

A

sec(x)+c

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6
Q

∫ cosec^2(x)dx

A

-cot(x)+c

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7
Q

∫cosec(x)cot(x)dx

A

-cosec(x)+c

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8
Q

∫e^(-a(x^2))dx

A

(pi/a)^1/2+c

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