How can I integrate the following given?

int[x^2(1-x^3)/(x^2-1)]dx ans. -1/4x^4-1/2x^2+x-ln(x+1)+c

int[cos[1/2x]dx/3/4-2/3 sin[1/2x] ans. -3ln(3/4-2/3sin[1/2x]+c

int=integral symbol

Thanks

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- August 1st 2009, 03:59 AMhonestliarNeed help with basic calculus
How can I integrate the following given?

int[x^2(1-x^3)/(x^2-1)]dx ans. -1/4x^4-1/2x^2+x-ln(x+1)+c

int[cos[1/2x]dx/3/4-2/3 sin[1/2x] ans. -3ln(3/4-2/3sin[1/2x]+c

int=integral symbol

Thanks - August 1st 2009, 04:12 AMsongoku
Hi honestliar

1.

; the numerator divided by denominator will be :

Solve using partial fraction

2.

hint : - August 1st 2009, 04:27 AMDeMath