antiderivatives?

Hello :)

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Originally Posted by keemariee

i'm having problems with the more complex antiderivatives problems. help?

a) x(-2+x^6) dx

Develop

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b) ((-4x^3+5x^12)/(x^-2)) dx

Note that $\frac{1}{x^{-2}}=x^2$ , then develop

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c) (3+x^8)^2 dx

Develop

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d) -9e^x dx

This may not be a problem..

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e) x^-5 sqrt(x) dx

$\sqrt{x}=x^{\frac 12}$

--> $x^{-5} \sqrt{x}=x^{-5+\frac 12}$

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f) ((1/u^(5/4)+5sqrt(u)) du

$\frac{1}{u^{\frac 54}}=u^{-\frac 54}$

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g) 1/4x^5 dx

The formula to know is that an antiderivative of $x^n$ is $\frac{x^{n+1}}{n+1}$