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indefinite integral help!?
Im not sure how to solve this 2 problems
1. X(x+2)/x^3+3x^2-4 dx
2. x^3-3x^2+4x-9/ x^2+3 dx
both of this problems has a anti derivative sign in the front
1 Answer
- Anonymous9 years agoFavorite Answer
1. Multiply top out
x^2+2x / x^3+3x^2-4
let u = x^3+3x^2-4
du = 3x^2 + 6x dx (how convenient, 3 times what you have on the numerator)
take it from there
2. you have a higher degree on top, so divide the polynomial out
this results in
x - 3 + ( (x-18) / (x^2+3) )
take it from there
(If you have trouble, know that this requires that you split the numerator. x / x^2+3 is a normal u-sub and -18 / x^2 + 3 becomes an arc-tangent function)