standardprimitiver Flashcards

1
Q

∫sin x dx = ?

A
  • cos x + C
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2
Q

∫cos x dx = ?

A

sin x + C

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3
Q

∫dx/(cos^2 x) = ?

A

tan x + C

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4
Q

∫dx /(sin^2 x) = ?

A
  • cot x + C
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5
Q

∫dx /(1 + x^2) = ?

A

arctan x + C

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6
Q

∫dx/((1 + x^2)^(1/2)) = ?

A

arcsin x + C

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7
Q

∫ a dx = ?

A

ax + C

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8
Q

∫x^a dx = ?

A

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

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9
Q

∫dx/ x = ?

A

ln|x| + C

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10
Q

∫e^x dx = ?

A

e^x + C

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11
Q

∫dx/((x^2 + a)(1/2)) = ?

A

ln|x + (x^2 + a)^(1/2)|

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