Calculus Derivatives and Antiderivatives
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Last updated 11:49 PM on 2/18/26
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13 Terms
1
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\int\,\sin xdx
-\cos x+C
2
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\int\cos xdx
\sin x+C
3
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\int\csc^2xdx
-\cot x+C
4
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\int\csc x\cot xdx
-\csc x+C
5
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\int\sec^2xdx
\tan x+C
6
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\int\sec x\tan xdx
\sec x+C
7
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\int\tan xdx
-\ln\left|\cos x\right|+C
8
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\int\frac{du}{\sqrt{a^2-u^2}}
\arcsin\frac{u}{a}+C
9
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\int\frac{du}{a^2+u^2}
\frac{1}{a}\arctan\frac{u}{a}+C
10
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\int\frac{du}{u\sqrt{u^2-a^2}}
\frac{1}{a}\operatorname{arcsec}\frac{\left|u\right|}{a}+C
11
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\int\frac{du}{u}
\ln\left|u\right|+C
12
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\int e^{u}du
e^{u}+C
13
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\int a^{u}du
\frac{1}{\ln a}a^{u}+C
