Antiderivative Review

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Last updated 12:34 AM on 8/25/26
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11 Terms

1
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∫(1)dx\int\left(1\right)dx

x+Cx+C

2
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∫xndx\int x^{n}dx

xn+1n+1+C\frac{x^{n+1}}{n+1}+C

3
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∫1xdx\int\frac{1}{x}dx

ln⁡∣x∣+C\ln\left|x\right|+C

4
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∫cos⁡(x)dx\int\cos\left(x\right)dx

sin⁡(x)+C\sin\left(x\right)+C

5
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∫sin⁡(x)dx\int\sin\left(x\right)dx

−cos⁡(x)+C-\cos\left(x\right)+C

6
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∫exdx\int e^{x}dx

ex+Ce^{x}+C

7
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∫sec⁡2(x)dx\int\sec^2\left(x\right)dx

tan⁡(x)+C\tan\left(x\right)+C

8
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∫sec⁡(x)tan⁡(x)dx\int\sec\left(x\right)\tan\left(x\right)dx

sec⁡(x)+C\sec\left(x\right)+C

9
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∫bxdx\int b^{x}dx

bxln⁡(b)+C\frac{b^{x}}{\ln\left(b\right)}+C

10
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∫11+x2dx\int\frac{1}{1+x^2}dx

arctan⁡(x)+C\arctan\left(x\right)+C

11
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∫11−x2dx\int\frac{1}{\sqrt{1-x^2}}dx

arcsin⁡(x)+C\arcsin\left(x\right)+C