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The technique we need to use to solve this integral is called integration by parts. The parts formula is: the integral of (uv' dx) = uv - the integral of (u'v dx) (where u and v are functions of x). We ne...

I have linked the solution to this problem here.

https://www.icloud.com/iclouddrive/0mLKDeFREhbvTJm6D09jFakcw#Solution

x = (-2 +/- sqrt(4-8))/2                    therefore x = - 1 +/- i, where i is the imaginary unit

x = i is a solution, and all the coefficients are real, so x = -i must also be a solution:2x^3+3x^2+2x+3 = 0(x+i)(x-i)(Ax+B) = 0 (we argued above that this must be the case)(x^2+1)(Ax+B) = 0(x^2+1)(2x+3) ...

First find the general solution to the differential equation y'' + 4y' + 3y = 0 as an arbitrary number of the solution to this differential equation can be added to the solution of the differential equati...