Thread: calc 1 sin(x^3) integral
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Old November 22nd, 2008, 05:46 PM
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For goodness sake, why didn't you say that in the first place?. That makes all the difference. It's the second fundamental rule of calc. There is no need to laboriously find the integral.

Is this what it is:

\frac{d}{dx}\left[\int_{a}^{x}f(t)dt\right]=f(x)

For instance, \frac{d}{dx}\left[\int_{1}^{x}\frac{sin(t)}{t}dt\right]=\frac{sin(t)}{t}

Remember that \int_{a}^{x}f(t)dt=-\int_{x}^{a}f(t)dt
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