Integrals Flashcards

1
Q

What is the formula for integration

A

∫x^n dx=(x^n+1)/n+1 + c

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2
Q

What is C

A

C is the constant of integration and represents any potential constant

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3
Q

∫ax^n

A

(ax^n+1)/n+1 + c

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4
Q

∫kf(x) dx

A

k ∫f(x) dx

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5
Q

∫[f(x)+g(x)] dx

A

∫f(x)+∫g(x) dx

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6
Q

∫[f(x)-g(x)] dx

A

∫f(x)-∫g(x) dx

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7
Q

∫sin(x) dx

A

-cos(x) + c

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8
Q

∫sin(ax+b) dx

A

-(1/a) cos(ax+b) + c

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9
Q

∫cos(x) dx

A

sin(x) + c

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10
Q

∫cos(ax+b) dx

A

(1/a) sin(ax+b) + c

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11
Q

∫e^x dx

A

e^x + c

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12
Q

∫e^ax+b dx

A

(1/a) e^ax+b +c

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