formules primitives

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Last updated 9:41 AM on 8/24/26
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10 Terms

1
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u′.unu^{\prime}.u^{n}

un+1n+1\frac{u^{n+1}}{n+1}

2
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u′(x)u(x)\frac{u^{\prime}\left(x\right)}{\sqrt{u\left(x\right)}}

2u(x)+C2\sqrt{u\left(x\right)}+C

3
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u′(x)un(x)\frac{u^{\prime}\left(x\right)}{u^{n}\left(x\right)}

−1(n−1)un−1(x)+C\frac{-1}{\left(n-1\right)u^{n-1}\left(x\right)}+C

4
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u′(x)u(x)\frac{u^{\prime}\left(x\right)}{u\left(x\right)}

ln(u)

5
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u′⋅euu^{\prime}\cdot e^{u}

\exponentialE^{u}

6
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u′⋅auu^{\prime}\cdot a^{u}

auln⁡(a)\frac{a^{u}}{\ln\left(a\right)}

7
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u′cos⁡(u)u^{\prime}\cos\left(u\right)

sin⁡(u)\sin\left(u\right)

8
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u′sin⁡(u)u^{\prime}\sin\left(u\right)

−cos⁡(u)-\cos\left(u\right)

9
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u′cos⁡(u)2=u′(1+tan⁡(u)2)\frac{u^{\prime}}{\cos\left(u\right)^2}=u^{\prime}\left(1+\tan\left(u\right)^2\right)

tan⁡(u)\tan\left(u\right)

10
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