Sorry, I'm new here and I don't know if there's an easy way to do the math symbols on here or not.

The original problem is to find the integral from 0 to 1 of (2*x^2 - x + 4)/((x^3 - 8)(x^2 - 49)).

I got it worked out to it equaling the integral from 0 to 1 of (-0.04243739*x^2 + 0.01347961*x - 0.0794319)/(x^3 - 8) + (0.02025586)/(x - 7) + (0.02218152)/(x + 7), which matches what is in my workbook, but past that I can't figure out what to do. The book just gives the answer as approx. 0.0111 after this.

To solve the integral from 0 to 1 of (-0.04243739*x^2 + 0.01347961*x - 0.0794319)/(x^3 - 8) would I need to use integration by parts?

And then for the integral from 0 to 1 of (0.02025586)/(x - 7) I am also stuck, since I cannot do 0.02025586*(ln(1-7) - ln(0-7)) because I'd be taking the natural log of a negative number.

If anyone could shed some light on this for me, that would be fantastic. Thank you so much!