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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: hard on November 08, 2009, 10:41:52 pm

Title: need help with anti-derivative and integrals
Post by: hard on November 08, 2009, 10:41:52 pm
whats the antidervative of 3a/x

and

how do we intergrate fractions.

and

what is an anti derivative and how do we solve it. cheers
Title: Re: need help with anti-derivative and integrals
Post by: TrueTears on November 08, 2009, 10:45:57 pm
Title: Re: need help with anti-derivative and integrals
Post by: hard on November 08, 2009, 10:48:37 pm

how did yo lose the x in the first equation. Also why is is there a modula's sign in front of the loge |x| ? is it cause you cannot log a number less than 0? so the integral of 1/x is loge|x| + c
Title: Re: need help with anti-derivative and integrals
Post by: TrueTears on November 08, 2009, 10:52:14 pm

how did yo lose the x in the first equation. Also why is is there a modula's sign in front of the loge |x| ? is it cause you cannot log a number less than 0? so the integral of 1/x is loge|x| + c
By definition

There is a mod sign because x can not be smaller than or equal to 0.

Title: Re: need help with anti-derivative and integrals
Post by: hard on November 08, 2009, 11:35:49 pm

how did yo lose the x in the first equation. Also why is is there a modula's sign in front of the loge |x| ? is it cause you cannot log a number less than 0? so the integral of 1/x is loge|x| + c
By definition

There is a mod sign because x can not be smaller than or equal to 0.


thankss TT
Title: Re: need help with anti-derivative and integrals
Post by: Over9000 on November 08, 2009, 11:54:15 pm

how did yo lose the x in the first equation. Also why is is there a modula's sign in front of the loge |x| ? is it cause you cannot log a number less than 0? so the integral of 1/x is loge|x| + c
Its on the cheat sheet with the mod sign so you dont needa try and remember it, just read off the cheat sheet.
Title: Re: need help with anti-derivative and integrals
Post by: hard on November 09, 2009, 12:04:31 am

how did yo lose the x in the first equation. Also why is is there a modula's sign in front of the loge |x| ? is it cause you cannot log a number less than 0? so the integral of 1/x is loge|x| + c
Its on the cheat sheet with the mod sign so you dont needa try and remember it, just read off the cheat sheet.
ahkai cheers