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WebGraphing.com Forum » List all forums » » Forum: Calculus Homework Help » » » Thread: Intregal to derivitive |
| Posted by char5059 at Apr 10, 2007 9:08:10 PM |
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Intregal to derivitive I have the integral sqrt(x)*tan(x) the intregal goes from x^4 to x^2 and I am supposed to find the derivitive. thanks. |
| Posted by pskinner at Apr 10, 2007 11:05:04 PM | ||
Re: Intregal to derivitive
You can split your integral into two integrals, the integral from 0 to x^2 minus the integral from 0 to x^4. The tricky part is that each integral is a composition of two function. So, the derivative of the integral from 0 to x^2 is: sqrt(x)*tan(x)*(d/dx)(x^2)=2*x*sqrt(x)*tan(x). Similarly the derivative of the other integral is: 4x^3*sqrt(x)*tan(x). So, the answer is to subtract this expression from the former expression. ---------------------------------------- Principal Skinner |