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If you are calculating Integral ((x^3+2)^2* 3x^2*dx) define X=x^3+2, dX=3.x^2 dx, integral becomes Integral (X^3.dX)=X^3/3=(1/3)(x^3+2)^3
If you are calculating Integral ((x^3+2)^2* 3x^4*dx), develop the binomial, and use the rule for the integral of a power to integrate each term in the polynomial of degree 10 that you obtain. I will leave this for you to do.
No. You need a router to set / obtain an IP or connect it directly to the computer RS232 serial port. No network required, but is old school and may be difficult. Specially with MAC. You are better off getting a new router.