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Derivatives and Integrals memory sheet
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Created by
Alexis Brooks
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Cards (18)
d/dx [a^x]
ln(a) * a^x
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d
/dx [sec(x)]
sec(x)
*
tan(x)
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d
/dx [csc(x)]
csc(x)
*
cot(x)
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∫ a dx
ax
+ C
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∫
x^n dx
x^(n+1)/(
n+1
)
+
C
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∫
e^x dx
e^x
+
C
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∫
1
/
x
dx
ln
(x) +
C
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∫
sin(x) dx
cos(x)
+
C
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∫
cos
(x)
dx
sin(x) + C
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∫
sec^2(x)
dx
tan
(x) +
C
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∫ csc^2(x) dx
-cot(x) + C
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∫ sec(x) * tan(x) dx
sec
(x) +
C
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∫
csc
(
x
) * cot(x) dx
-csc(x) + C
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∫
1/(x^2-a^2) dx
1/a * tan^-1(x/a) + C
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∫
1/sqrt(a^2-x^2) dx
sin^
-1
(x/a) + c
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∫
1/(x+sqrt(x^2-a^2)) dx
1/a * sec^
-1
(x/a) + C
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∫[f(x) ± g(x)]
dx
= ∫ f(x)
dx
± ∫ g(x) dx
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∫ a
*
f(x) dx = a * ∫ f(x) dx
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