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Consider the function (5x^9)+(5x^6)-(4x^3)-3.
Find the general antiderivative of f(x) . Enter the upper case letter C for the constant of integration.

2007-12-08 05:31:11 · 3 answers · asked by Ksyha 1 in Science & Mathematics Mathematics

3 answers

To find the antiderivative of any function with just a contstant in front of the x, you add one to the exponent then divide by that number. (Just an easy rule). You can add all of these together (multiplication tho, is more complicated). For the last term you add x to the three because ANTIderrivitives mean that you are going backwards (and the derrivitive of 3x is 3).
So
(5x^10)/10+(5x^7)/7-(4x^4)/4-3x+C

(You add C because your question doesn't ask you to evaluate.)

2007-12-08 05:36:45 · answer #1 · answered by Anonymous · 0 0

(5x^9)+(5x^6)-(4x^3)-3

The antiderivative is

( 1 / 10 ) 5x^10 + ( 1/ 7 ) 5x^7 - ( 1 / 4 ) x^4 - 3x + c

2007-12-08 13:36:04 · answer #2 · answered by jgoulden 7 · 0 0

I would help you if I didn't think calculus was the most evil thing on this planet

2007-12-08 13:34:32 · answer #3 · answered by Colleen N 4 · 0 0

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