Integral of a PolynomialDate: 7/15/96 at 8:50:45 From: COMPAQ PRESARIO 9240 Subject: Integral of a Polynomial Find the integral of (5x-1) to the power of 6. I just forgot how to do it! Date: 7/15/96 at 9:50:17 From: Doctor Paul Subject: Re: Integral of a Polynomial You want this I believe: / | 6 | (5 x - 1) dx | / Let's recall the rule for integrating polynomials. Add one to the exponent, divide by the new exponent, and then divide by the derivitive of the integrand. Don't forget the constant of integration. Here we go: 7 (1/7)*(1/5)*(5 x - 1) + C and that simplifies to: 7 1/35 (5 x - 1) + C The good thing about integration is that we can check our answer and make sure that the derivative of our answer is what we started with. Let's do that: 6 7/35 (5 x -1) (5) that simplifies to: 6 (5 x -1) And that's what you started with so we know our answer is right. -Doctor Paul, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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